-2415

Appears in sequences

• Dirichlet convolution of [ 1,1,1,... ] with A034778.at n=3A034779
• Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=11A100492
• Expansion of (2*x+1)*(4*x^2+8*x+1)/((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).at n=6A110689
• Moment sequence of tr(A^4) in USp(6).at n=7A138544
• The expansion of R(q)^-5 in powers of q where R() is the Rogers-Ramanujan continued fraction.at n=19A229793
• Triangle read by rows giving coefficients in Gould's polynomials for counting fountains of coins.at n=24A259879
• 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=66A267484
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood.at n=29A271417
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood.at n=35A272513
• Expansion of 1/(1 + x/(1 + x^3/(1 + x^4/(1 + x^7/(1 + x^11/(1 + ... + x^Lucas(k)/(1 + ...))))))), a continued fraction.at n=25A294922
• Expansion of 1/(1 - x * theta_4(x)), where theta_4() is the Jacobi theta function.at n=18A307901