-2176

Appears in sequences

• McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=9A007256
• McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=9A045486
• G.f. satisfies: A(x) = 1/(1 + x*A(x^4)) and also the continued fraction: 1 + x*A(x^5) = [1; 1/x, 1/x^4, 1/x^16, 1/x^64, ..., 1/x^(4^(n-1)), ...].at n=52A101914
• E.g.f.: 2*x/(1+exp(-2*x)).at n=8A109573
• McKay-Thompson series of class 6C for the Monster group with a(0) = -6.at n=9A121666
• Expansion of phi(-x) / f(-x^4)^2 in powers of x where phi(), f() are Ramanujan theta functions.at n=45A137830
• Triangle of coefficients of the polynomials (1 - x)^n*A(n,x/(1 - x)), where A(n,x) are the Eulerian polynomials of A008292.at n=36A141720
• Triangle read by rows: coefficients of the complementary Swiss-Knife polynomials.at n=37A162660
• Triangle read by rows, T(n,k) = sum_{j=0..n} (-1)^(n+k+j) A(n,j)*C(j,n-k), A(n,j) the Eulerian numbers; n >= 0, k >= 0.at n=40A225678
• a(n) = n*4^n*(-Z(1-n, 1/4)/2 + Z(1-n, 3/4)/2 - Z(1-n, 1)*(1 - 2^(-n))) for n > 0 and a(0) = 0, where Z(n, c) is the Hurwitz zeta function.at n=8A243963
• T(n,k) = binomial(n,k)*A000111(n-k)*(-1)^(n-k), 0 <= k <= n.at n=37A247453
• Alternating sum of 11-gonal (or hendecagonal) numbers.at n=31A266087
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 99", based on the 5-celled von Neumann neighborhood.at n=25A270159
• Triangle read by rows, expansion of exp(x*z)*z*(tanh(z) + sech(z)), T(n, k) for n >= 1 and 0 <= k <= n-1.at n=28A294033
• Row sums of A337967.at n=7A337616
• Triangle read by rows. T(n, k) = [x^k] (2 - Sum_{k=0..n} binomial(n, k)*Euler(k, 1)*(-2*x)^k).at n=43A363393
• Triangle read by rows. T(n, k) = A081658(n, k) + A363393(n, k) for k > 0 and T(n, 0) = 1.at n=43A363394