My OEIS published integer sequences
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A352881 SeqDB a(n) is the minimal number z having the largest number of solutions to the Diophantine equation 1/z = 1/x + 1/y such that 1 <= x <= y <= 10^n.
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A347105 SeqDB a(n) is the greatest sum of the digital roots of the individual factorizations of n.
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A355069 SeqDB a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p^2 - p and p is the n-th prime.
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A355419 SeqDB a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p and p is the n-th prime.
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A355486 SeqDB a(n) is the number of total solutions (minus the n-th prime) to x^y == y^x (mod p) where 0 < x,y <= p and p is the n-th prime.
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A357945 SeqDB Numbers k which are not square but D = (b+c)^2 - k is square, where b = floor(sqrt(k)) and c = k - b^2.
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A358016 SeqDB For n >= 3, a(n) is the largest k <= n-2 such that k^2 == 1 (mod n).
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A357928 SeqDB a(n) is the smallest c for which (s+c)^2-n is a square, where s = floor(sqrt(n)), or -1 if no such c exists.
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A358043 SeqDB Numbers k such that phi(k) is a multiple of 8.
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A359415 SeqDB Numbers k such that phi(k) is a 5-smooth number where phi is the Euler totient function.
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A359864 SeqDB a(n) is the number of solutions to the congruence x^y == y^x (mod n) where 0 <= x,y <= n.
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A360760 SeqDB a(n) = n^16 + n^15 + n^2 + 1 (or crc-16-ibm poly).
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A361913 SeqDB a(n) is the number of steps in the main loop of the Pollard's rho integer factorization algorithm with x=2, y=2 and g(x)=x^2-1.
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A362008 SeqDB Numbers whose Euler's cototient is divisible by 9.
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A362961 SeqDB a(n) = Sum_{b=0..floor(sqrt(n)), n-b^2 is square} b.
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A363051 SeqDB a(n) = Sum_{b=0..floor(sqrt(n/2)), n-b^2 is square} b.
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A362502 SeqDB Least k > 0 such that (floor(sqrt(n*k)) + 1)^2 mod n is a square.
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A363612 SeqDB Number of iterations of phi(x) at n needed to reach a square.
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A363680 SeqDB Number of iterations of phi(x) at n needed to reach a cube.
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A363896 SeqDB Numbers k such that the sum of primes dividing k (with repetition) is equal to Euler's totient function of k.
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A363895 SeqDB Floor of the average of the distinct prime factors of n.
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A362951 SeqDB a(n) is the Hamming distance between the binary expansions of n and phi(n) where phi is the Euler totient function (A000010).
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A364143 SeqDB a(n) is the minimal number of consecutive squares needed to sum to A216446(n)
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A364168 SeqDB Numbers that can be written in more than one way in the form (j+2k)^2-(j+k)^2-j^2 with j,k>0.
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A364834 SeqDB Sum of positive integers <= n which are multiples of 2 or 5.
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A359198 SeqDB Numbers k such that 2*phi(k)-k is a prime, where phi is A000010.
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A363583 SeqDB Numbers k such that 2*phi(k)+k is a prime, where phi is A000010.
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A365749 SeqDB Number of iterations that produce a record high of the digest of the SHA2-256 hash of the empty string.
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A366061 SeqDB Numbers of iterations that produce a record low of the digest of the SHA2-256 hash of the empty string.
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A365686 SeqDB Numbers k such that there exists a pair of integers (m,h) where 1 <= m < floor(sqrt(k)/2) <= h that satisfy Sum_{j=0..m} (k-j)^2 = Sum_{i=1..m} (h+i)^2.
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A366160 SeqDB Numbers whose binary expansion is not quasiperiodic.
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A364535 SeqDB a(n) is the number of subsets of the first n primes whose sum is not a prime.
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A367690 SeqDB Total number of steps of Euclid's GCD algorithm to calculate gcd(x,y) for all pairs x,y in the range 1 <= x,y <= n.
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A367892 SeqDB Total number of steps of Euclid's GCD algorithm to calculate gcd(x,y) for all pairs x,y in the range 1 <= y <= x <= n.
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A367954 SeqDB Total number of steps of Euclid's GCD algorithm to calculate gcd(x,y) for all pairs x,y in the range 1 <= x < y <= n.
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A369802 SeqDB Inversion count of the Eytzinger array layout of n elements.
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A369920 SeqDB The private keys for the 32 BTC Bitcoin puzzle.
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A370006 SeqDB Steinhaus-Johnson-Trotter rank of the Eytzinger array layout of n elements.
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A368783 SeqDB Lexicographic rank of the permutation which is the Eytzinger array layout of n elements.
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A370879 SeqDB a(n) = 2^nt + 1 where t is the least x such that there exists an r in the range 2 <= r <= x+1 that is coprime to 2^nx + 1 and has multiplicative order 2^n modulo 2^n*x + 1.
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A371124 SeqDB a(n) is the least nonnegative integer y such that y^2 = x^2 - k*n for k and x where n > k >= 1 and n > x >= floor(sqrt(n)).
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A371531 SeqDB a(n) is the multiplicative order of A053669(n) modulo n.
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A372305 SeqDB a(n) = Product_{k=2..n-1} MultiplicativeOrder(k,n) where gcd(k,n)=1.
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A372651 SeqDB a(n) is the product of the distinct nonzero quadratic residues of n.
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A373286 SeqDB a(n) = Product_{k=1..n} (k^2 mod n if k^2 mod n > 0).
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A373461 SeqDB a(n) = s - t where s = ceiling(sqrt(n*i)), t = sqrt(m), and m = s^2 mod n, for the smallest positive integer i for which m is square.
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A373879 SeqDB Composite numbers not factorizable using the Pollard-rho algorithm with parameters x=2,y=2 and f(x)=x^2-1.
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A373716 SeqDB a(n) is the number of distinct products i*j minus the number of distinct sums i+j with 1 <= i, j <= n.
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A373652 SeqDB Composite numbers k for which g = gcd(f(i*c), k) = 1 or k for all i in the range 1 <= i <= c, where f(x) = Product_{j=1..c} x+j and c = floor(k^(1/4)).
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A374625 SeqDB In the binary expansion of n, expand bits 1 -> 01 and 0 -> 10.
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A374510 SeqDB Sum of those numbers t which have a unique representation as the sum of floor(n/2) distinct squares from among 1^2,...,n^2.
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A374720 SeqDB Permutation rank of the initial state S of length n in an RC4-like Key Scheduling Algorithm with key comprising numbers 1 to n.
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A375156 SeqDB In the binary expansion of n: expand bits 1 -> 01 and 0 -> x0 from most to least significant, where x is the complement of the previous bit from n.
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A375109 SeqDB Number of distinct products i*j with 1 <= i, j <= n which are not the sum of two numbers between 1 and n.
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A375585 SeqDB Number of ASCII letter 'A' bytes that when compressed with zlib generate a new record longest compressed byte stream.
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A375649 SeqDB Number of comparisons and swaps in the Batcher odd-even merge sort needed to sort n items.
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A375764 SeqDB a(n) is the sum of distinct sums of all subsets with two or more elements of {1, 2, ..., n}.
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A375825 SeqDB Triangle read by rows where row n is the Eytzinger array layout of n elements (a permutation of {1..n}).
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A375745 SeqDB a(n) is the sum of the vector of the reduced discriminant of the n-th cyclotomic polynomial.
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A375789 SeqDB First position index for A197123(n) in the decimal expansion of Pi.
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A374849 SeqDB In the binary expansion of n: Collapse bits from most to least significant 10 -> 1, 01 -> 0, 00 -> nothing, 11 -> nothing.
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A376295 SeqDB The binary expansion of a(n) is the reversal of the concatenation of the binary expansions of 1,...,n.
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A376951 SeqDB Characteristic polynomial of the Pappus graph: a(n) = (n-3)n^4(n+3)*(n^2-3)^6.
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A377059 SeqDB a(n) is the smallest even r less than n-1 such that x^r = 1 (mod n) for the least x such that gcd(x,n)=1 for n >= 4 else 0.
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A377029 SeqDB a(1) = 0; therafter in the binary expansion of a(n-1), expand bits: 1->01 and 0->10.
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A376613 SeqDB The binary expansion of a(n) tracks where the merge operations occurs in a Tim sort algorithm applied to n blocks.
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A377704 SeqDB a(n) = binomial(Fibonacci(n)+Fibonacci(n+1)-2,Fibonacci(n)-1).
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A378298 SeqDB Number of solutions that satisfy the congruence: i^2 == j^2 (mod n) with 1 <= i < j <= n.