-1040

Appears in sequences

• Expansion of e.g.f. log(cos(x) + arcsin(x)).at n=6A013010
• Expansion of log(1+tan(x)*x)/2.at n=4A024236
• Expansion of g.f. Product_{n>=1} (1-x^n)*(1-x^(5*n))/(1-x^(3*n))^2.at n=40A054274
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=47A074170
• Expansion of (1-x)^(-1)/(1+x-2*x^2-x^3).at n=13A077897
• Coordination sequence for octagonal tiling is a(n)*sqrt(2) + A103909(n).at n=14A103908
• Expansion of -1/(1 - x + x^2 - x^3 + x^4 + x^6).at n=46A125629
• a(n) = 13 + 12*n - n^2.at n=39A136316
• Expansion of x^5/((1-x)*(1+x-x^5)).at n=50A174532
• Express the Sum_{n>=0} p(n)*x^n, where p(n) is the partition function, as a product Product_{k>=1} (1 + a(k)*x^k).at n=27A220420
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 51", based on the 5-celled von Neumann neighborhood.at n=17A270021
• E.g.f. A = A(x,y) satisfies: A^2 + B^2 + C^2 = 1 + y^2 and A^3 + B^3 + C^3 = 1 + y^3, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively.at n=74A278885
• Expansion of Product_{k>0} (1 - x^k)^(4*k).at n=15A316463
• Sum of the inverse permutation of EKG-sequence, A064664, and its Dirichlet inverse, A323411.at n=74A323412
• G.f. A(x) satisfies: A(x) = 1 - x * A(x/(1 - x)) / (1 - x)^3.at n=8A346053
• Expansion of Sum_{k>0} k * x^k/(1 + x^k)^3.at n=31A364343