-1599

Appears in sequences

• Expansion of (1-x)^(-1)/(1+2*x-2*x^3).at n=17A077924
• a(n) = (-1)^n*n*(n-2).at n=40A131386
• Expansion of f(-x^2)^2 * f(x, x^2) / f(-x^3)^3 in powers of x where f(,) is a Ramanujan theta function.at n=47A132179
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=39A141354
• Coefficient array for orthogonal polynomials p(n,x)=(x-(2n-1))*p(n-1,x)-(2n-2)^2*p(n-2,x), p(0,x)=1,p(1,x)=x-1.at n=16A182826
• Expansion of 3 * q^(1/3) * phi(q) * psi(q^6) / c(q) in powers of x where phi(), psi() are Ramanujan theta functions and c() is a cubic AGM theta function.at n=23A233037
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=38A235324
• a(n) = 1 - n^2.at n=40A258837
• Triangle of coefficients of Gaussian polynomials [2n+5,4]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=4n+2.at n=98A267484
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 363", based on the 5-celled von Neumann neighborhood.at n=23A268194
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=29A270453
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=31A272559
• E.g.f. satisfies A(x) * log(A(x)) = 3 * (exp(x) - 1).at n=4A357245
• a(n) = A019565(1+n) - A019565(A001065(n)), where A019565 is the base-2 exp-function, and A001065 is the sum of proper divisors of n.at n=41A379496