-2880

Appears in sequences

• Coefficients of Jacobi cusp form of index 1 and weight 12.at n=13A003785
• Expansion of 4th power of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=23A055103
• Coefficients of series whose 8th power is the theta series of E_8 (see A004009).at n=2A108091
• Matrix log of triangle A111940, which shifts columns left and up under matrix inverse; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=55A111941
• Matrix log of triangle A111940, which shifts columns left and up under matrix inverse; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=80A111941
• Column 0 of the matrix logarithm (A111941) of triangle A111940, which shifts columns left and up under matrix inverse; these terms are the result of multiplying the element in row n by n!.at n=10A111942
• Coefficients of the v=1 member of a family of certain orthogonal polynomials.at n=16A130182
• A triangular sequence of coefficients of a partition two types polynomials; of Chebyshev of the first kind polynomials (A053120) and Hermite polynomials (A060821): p(x,n) = T(x,n)*H(x,n).at n=38A137456
• A triangular sequence from an expansion of coefficients of the function: p(x,t)=Exp(x*g*(t))*(1-f(t)^2);f(t)=1/Sqrt[1 - 2*t^2 + t^4];g(t)=t. (Based on the Weierstrass functions of Jenkins-Serrin minimal surface.)at n=12A137523
• Triangle read by rows: row n (n > 0) gives the coefficients of x^k (0 <= k <= n - 1) in the expansion of Sum_{j=0..n} A000931(j+4)*binomial(n, j)*x^(j - 1)*(1 - x)^(n - j).at n=51A144400
• Diagonal sums of number triangle A185962.at n=37A185964
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the matrix at A204112, given by f(i,j) = gcd(F(i+1), F(j+1)), where F=A000045 (Fibonacci numbers).at n=21A204113
• Triangle T(n,k): the coefficient [x^(n-k)] of the polynomial 2^n*n!*L(n,3/2,x), where L is the generalized Laguerre Polynomial in the Abramowitz-Stegun normalization.at n=22A229789
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n^n as Sum(k=0..n)T(n,k).at n=19A244135
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 43", based on the 5-celled von Neumann neighborhood.at n=31A269879
• Expansion of e.g.f. (1 + x)^4*log(1 + x).at n=9A274268
• Chebyshev coefficients of density of states of triangular lattice.at n=5A288460
• Coefficients of q-expansion of Eisenstein series G_{5/2}(tau) multiplied by 120.at n=60A306934
• a(n) = 1*2*3*4*5*6*7 - 8*9*10*11*12*13*14 + 15*16*17*18*19*20*21 - ... + (up to n).at n=10A319547
• Nonzero terms of Product_{k=0..floor(log_2(n))} (1 + A004718(floor(n/(2^k)))).at n=22A325803