-3640

Appears in sequences

• Low temperature energy function for square lattice.at n=7A002909
• Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-13).at n=3A004414
• Triangle T(n,k) read by rows: see formula lines for definition.at n=34A097474
• Riordan array (1/(1+xc(-2x)), xc(-2x)/(1+xc(-2x))), c(x) the g.f. of A000108.at n=22A114189
• Fifth convolution of A115140.at n=11A115144
• Triangle T(n,k) read by rows: coefficient [x^k] of the polynomial h(n,x) with h(0,x)=1, h(1,x)=1-x and recursively h(n,x) = 1 + n -(1-x)*(1-h(n-1,x)) - n*h(n-2,x).at n=57A136247
• Triangle T(n,k) read by rows: coefficient [x^k] of the polynomial p(n,x) with p(0,x) = 1, p(1,x) = 2 - x, p(2,x) = 1 - 4*x + x^2 and p(n,x) = (2-x)*p(n-1,x) - p(n-2,x) if n>2.at n=60A136674
• Triangle t(n,m) = p(n)/ (p(m)*p(n-m) ) read by rows, where p(n>=1) = 1, -1, 2, 10, 10, -160, -2080,.. are partial products of A106852.at n=39A177694
• Triangle t(n,m) = p(n)/ (p(m)*p(n-m) ) read by rows, where p(n>=1) = 1, -1, 2, 10, 10, -160, -2080,.. are partial products of A106852.at n=41A177694
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood.at n=35A270949
• Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + x + Sum_{n>=2} prime(n-1)*x^n.at n=50A353951
• G.f. satisfies A(x) = 1 + x * (1 - x)^2 * A(x * (1 - x)).at n=10A360992