-1960

Appears in sequences

• Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=32A008275
• Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.at n=31A008276
• Expansion of e.g.f. arctan(log(x+1) - arcsin(x)).at n=8A013225
• Expansion of e.g.f. tanh(log(x+1) - arcsin(x)).at n=8A013229
• Expansion of e.g.f. arctan(log(x+1) - sinh(x)).at n=8A013261
• Expansion of e.g.f. tanh(log(x+1) - sinh(x)).at n=8A013265
• Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=40A030181
• Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n.at n=41A048994
• McKay-Thompson series of class 7B for the Monster group.at n=40A052240
• Triangle of Stirling numbers of 1st kind, S(n, n-k), n >= 0, 0 <= k <= n.at n=39A054654
• Triangle, read by rows, where T(n,k) = A008275(k+1,n-k+1) are Stirling numbers of the first kind.at n=51A104416
• A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].at n=34A174859
• G.f.: Product_{k>0} (1 - x^k)^4 * (1 - (-x)^k)^8.at n=11A225543
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood.at n=25A271155
• Expansion of e.g.f. log( 1 + log(1 + x)^5 / 5! ).at n=3A346947
• Expansion of e.g.f. 1/(1 - log(1 + x)^5/120).at n=8A354135
• Expansion of e.g.f. exp(log(1 + x)^5/120).at n=8A354137
• Triangle of coefficients T(n,k) in g.f. A(x,y) satisfying Sum_{n=-oo..+oo} (x^n - y*A(x,y))^n = 1 - (y-2)*Sum_{n>=1} x^(n^2), for n >= 1, as read by rows.at n=60A370041