-959

Appears in sequences

• Expansion of e.g.f. sin(tanh(x)) (odd powers only).at n=3A003717
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=30A141354
• Inverse of coefficient array for polynomials P(n,x)=x*P(n-1,x)+floor(n^2/4)*P(n-2,x), P(0,x)=1,P(1,x)=x.at n=38A178117
• a(n)=1-4*n-4*n^2.at n=15A184882
• Triangle read by rows, e.g.f. exp(x*z)/((exp(x/2)+exp(x*3/2))/((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3)-1).at n=29A215065
• E.g.f.: S(x) = Sum_{n>=0} sin((2*n+1)*x) * x^n / (1 - x^(2*n+1)).at n=4A257454
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.at n=31A269512
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 261", based on the 5-celled von Neumann neighborhood.at n=15A271064
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood.at n=17A272294
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=23A282329
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 + 2*(k-1)*x + ((k+1)*x)^2).at n=59A307884
• Expansion of Sum_{k>=1} x^k/(1 + x^k)^4.at n=15A320901
• E.g.f. satisfies A(x) = exp(x - x^3 * A(x)^3).at n=5A362481