-621

Appears in sequences

• Coefficients of the solution to a functional equation.at n=25A092421
• Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C_0 = 0, C_2 = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (Sum_{k=0..n} a(n,k)*tanh(1)^k) / (2^n*n! * (1-tanh(1))^n).at n=26A104053
• Numerator of Hermite(n, 9/10).at n=3A159279
• Expansion of 1/(1 + x - x^3 - x^4 - x^8 - x^12 - x^13 - x^17 - x^21 - x^22 - x^26 - x^30 - x^31 + x^33 + x^34).at n=47A173908
• Values of n such that L(13) and N(13) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=6A227516
• E.g.f. A(x) satisfies: (A(x)^5 - 10*x)^2 = (2 - A(x)^2)^5.at n=6A249787
• 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=25A269512
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 211", based on the 5-celled von Neumann neighborhood.at n=13A270900
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 406", based on the 5-celled von Neumann neighborhood.at n=29A271888
• Expansion of Product_{k>=1} ((1 + x^(2*k-1))/(1 + x^(2*k)))^k.at n=47A296047
• G.f. L(x,y) satisfies: L(x,y) = x * (1 + y*x*L'(x,y)) / (1 + x*L'(x,y)) where L'(x,y) = d/dx L(x,y), as a triangle read by rows.at n=15A301305
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 2/(1 + k*x + sqrt(1 + 2*k*x + k*(k+4)*x^2)).at n=51A307968
• Partial alternating sums of Pillai's arithmetical function (A018804).at n=45A370895
• G.f. A(x) satisfies A(x) = ( 1 + 9*x*(1 + x)*A(x) )^(1/3).at n=7A372038