26712

Appears in sequences

• Theta series of A_8 lattice.at n=7A008448
• s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (F(2), F(3), ...).at n=15A024589
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (composite numbers), t = (F(2), F(3), F(4), ...).at n=14A025103
• Numerators of continued fraction convergents to sqrt(967).at n=5A042870
• Number of chiral invertible prime knots with n crossings.at n=14A051769
• Number of invertible prime knots with n crossings.at n=14A052402
• Numbers k such that sigma (x) = k has exactly 11 solutions.at n=30A060678
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, -1), (0, 1, 0), (1, 0, 1)}.at n=8A150277
• 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=36A153797
• Number of binary strings of length n with no substrings equal to 0010 or 1011.at n=14A164404
• Number of reduced 3 X 3 semimagic squares with distinct nonnegative integer entries and maximum entry n.at n=14A173727
• Generating function exp( sum(n>=1, sigma(n)^3*x^n/n ) ).at n=8A178933
• Numbers k such that (2^k + 3)^2 - 8 is prime.at n=35A188936
• Triangle T(n,m) = coefficient of x^n in expansion of [x*(x+1)^(x+1)]^m = sum(n>=m, T(n,m) x^n*m!/n!).at n=41A202190
• a(n) = Sum_{k=0..n} k!*binomial(2*n-k, n).at n=7A293468
• Triangle read by rows, coefficients of polynomials in t = log(x) of the n-th derivative of x^(x^2), evaluated at x = 1. T(n, k) with n >= 0 and 0 <= k <= n.at n=29A293473
• Composites k such that the concatenation of the prime factors of k, with multiplicity, in some order is divisible by k.at n=43A322843
• Primorial deflation of the n-th colossally abundant number: the unique integer k such that A108951(k) = A004490(n).at n=26A342012
• Members of A014574 with sum of prime factors (with multiplicity) also in A014574.at n=21A349455
• a(n) is the least number k such that the equation phi(x) = k has exactly n solutions and the arithmetic mean of these solutions is an integer, or -1 if no such number exists.at n=19A389860