-544

Appears in sequences

• Coefficients of a Dirichlet series.at n=43A002558
• cos(arctan(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-544/6!*x^6+25344/8!*x^8...at n=3A013001
• a(n) = 4^(2*n)*(4^(2*n)-1)*Bernoulli(2*n)/(2*n).at n=1A047682
• McKay-Thompson series of class 30C for Monster.at n=43A058614
• Triangle of numbers obtained by inverting infinite matrix defined in A059369, read from right to left.at n=41A059370
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=43A060023
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=49A068762
• Expansion of 1/(1+2*x-2*x^2-2*x^3).at n=7A077981
• Expansion of 1/(1+2*x+2*x^2+2*x^3).at n=15A077993
• Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan theta function.at n=21A108494
• Expansion of eighth root of theta series of D_8 lattice.at n=2A109773
• Expansion of x^2*(-3+4*x)/(1-x^3+x^4).at n=33A110061
• Riordan array ((3-sqrt(1+8x))/2, (sqrt(1+8x)-1)/4).at n=32A122440
• Triangle of coefficients of n!*(1 - x)^n*L_n(x/(1 - x)), where L_n(x) is the Laguerre polynomial.at n=13A123202
• See Mathematica program.at n=56A130605
• McKay-Thompson series of class 30C for the Monster group with a(0) = -1.at n=43A132321
• Triangle read by rows: A007318^(-1) * A011971.at n=26A136789
• A triangular sequence of coefficients from the inverse substitution of the spherical Bessel polynomial recursion: B(x, n) = (-2/x)*B(x, n-1) - (k^2 - (n*(n-1)/x^2))*B(x, n-2), with k=1 and substitution x->1/y.at n=31A137477
• A triangle of coefficients of a product polynomial sequence based on Chebyshev T:differentiation of T[(x,n) which gives U(x,n): p(x,n) = Product_{m=0..n} Sum_{i=0..m} (d/dx) T(x,i+1).at n=10A139809
• S(n,k) an additive decomposition of the Springer number (generalized Euler number), (triangle read by rows).at n=11A154343