-836

Appears in sequences

• Expansion of Product_{m >= 1} (1-m*q^m)^16.at n=4A022676
• Partial sums of A073579.at n=48A077039
• Expansion of (1-x)/(1+x+2*x^3).at n=13A078044
• The result of the integration Integral_{t=0..oo} -rho*exp(-rho*s*t)*t^j*s*log(1+t) dt can be written as (F(u,j)*exp(u)*Ei(1,u) + G(u,j))/u^j, where rho>0, s>0, and u=rho*s. Sequence is the regular triangle corresponding to G(u,j).at n=48A121922
• a(n+3) = (8 - 3*n)*a(n-1) + (-24 + 4*n)*a(n) + (22 - n)*a(n+1) - 8*a(n+2).at n=3A130591
• G.f. satisfies: 1/A(x) = Sum_{n>=0} (n+1)^2*A000108(n)*x^n*A(x)^n, where A000108(n) = C(2n,n)/(n+1) is the n-th Catalan number.at n=6A187594
• A000145(n) / 8 - (n^5 + 1).at n=12A188671
• Expansion of f(x)^12 in powers of x where f() is a Ramanujan theta function.at n=9A209676
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 163", based on the 5-celled von Neumann neighborhood.at n=21A270456
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 790", based on the 5-celled von Neumann neighborhood.at n=45A273563
• Coefficients of q^(-1/24)*eta(4q)^(1/2).at n=6A298411
• Expansion of Product_{k>=2} (1 - x^k)^k.at n=26A298599
• Expansion of Product_{k>=1} (1 - x^k)^(2*k-1).at n=20A319669
• Triangle read by rows: T(n, k) = (-1)^(n - k) * binomial(2n + 1, n - k) * L(2k + 1), 0 <= k <= n, where L(k) is the k-th Lucas number (A000032).at n=19A326832
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384951.at n=75A384976
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385016.at n=50A385020