-1919

Appears in sequences

• A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=20A005120
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=49A105596
• A symmetrical triangular sequence:t(n,m)=n!*(StirlingS1[n, m] + StirlingS1[n, n - m] - (StirlingS1[n, 0] + StirlingS1[n, n]) + 1) - n! + 1.at n=17A174861
• A symmetrical triangular sequence:t(n,m)=n!*(StirlingS1[n, m] + StirlingS1[n, n - m] - (StirlingS1[n, 0] + StirlingS1[n, n]) + 1) - n! + 1.at n=18A174861
• Values of n such that L(16) and N(16) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=11A227519
• Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.at n=23A268919
• Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.at n=24A268919
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood.at n=25A271417
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 387", based on the 5-celled von Neumann neighborhood.at n=31A271546
• Expansion of e.g.f. Product_{k>=1} (1 + x^k)^((-1)^(k+1)/k).at n=7A295834