-547

Appears in sequences

• Expansion of Product_{m>=1} (1+q^m)^(-7).at n=7A022602
• Triangle of coefficients of p(x,n) = (1/4)*(1-x)^(n+1)*Sum_{m >= 0} ((2*m- 1)^n - (2*m+3)^n)*x^m, read by rows.at n=28A154852
• Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1+x-x^3)^(n+1)*Sum_{j >= 0} (j+1)^n*(-x + x^3)^j.at n=40A156896
• Irregular triangle of coefficients of Product_{j=1..n} (x^j - x - 1), read by rows.at n=40A166919
• Numerators of s(i) = s(i-1) - (1/i)*sign(s(i-1)) with s(1) = 1.at n=15A203810
• Coefficient of x^n in Product_{k>=1} 1/(1+x^k)^n.at n=6A255526
• Expansion of f(x, x^7) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=55A259774
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood.at n=13A270983
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 397", based on the 5-celled von Neumann neighborhood.at n=13A271692
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood.at n=17A272458
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 505", based on the 5-celled von Neumann neighborhood.at n=15A272584
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 507", based on the 5-celled von Neumann neighborhood.at n=15A272588
• E.g.f. B = B(x,y) satisfies: A^2 + B^2 + C^2 = 1 + y^2 and A^3 + B^3 + C^3 = 1 + y^3, where functions A = A(x,y) and C = C(x,y) are described by A278885 and A278887, respectively.at n=67A278886
• E.g.f. C = C(x,y) satisfies: A^2 + B^2 + C^2 = 1 + y^2 and A^3 + B^3 + C^3 = 1 + y^3, where functions A = A(x,y) and B = B(x,y) are described by A278885 and A278886, respectively.at n=77A278887
• Expansion of Product_{k>0} (1 - 2*k*x^(2*k))/(1 + (2*k-1)*x^(2*k-1)).at n=22A319860
• a(n) = -a(n-1) + 2*a(n-2) + a(n-3), a(0) = -1, a(1) = -2, a(2) = -4.at n=12A321461
• Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + arcsinh(x).at n=6A353819
• Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arcsinh(x).at n=6A353914
• Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + arcsinh(x).at n=6A354116
• Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + arcsinh(x).at n=6A354274