-9216
domain: Z
Appears in sequences
- Expansion of exp(tanh(x))/cosh(x).at n=9A009265
- Expansion of sin(tan(x))/cos(x).at n=4A009509
- a(n) = (-1)^(n+1) * 2^n * n!^2.at n=4A055546
- Triangle of nonzero coefficients of Hermite polynomials H_n(x) in increasing powers of x.at n=28A059343
- Triangle read by rows. T(n, k) are the coefficients of the Hermite polynomial of order n, for 0 <= k <= n.at n=52A060821
- Triangle L, read by rows, equal to the matrix log of A118435, with the property that L^2 consists of a single diagonal (two rows down from the main diagonal).at n=46A118441
- Coefficients of generalized factorial polynomials p(x, n) = (x/a - (n-1))*p(x, n-1) with p(x, 0) = 1, p(x, 1) = x/a and a = 1/2. Triangle read by rows, for n >= 0 and 0 <= k <= n.at n=53A137312
- a(n) = 4^n*(1-2*n).at n=5A144704
- a(n) = 2^n*(1-n).at n=10A159964
- Triangle T(n, k) = A060821(n,k) + A060821(n,n-k), read by rows.at n=47A181089
- Triangle T(n, k) = A060821(n,k) + A060821(n,n-k), read by rows.at n=52A181089
- Govindarajan's triangle beta arising in enumeration of multi-dimensional partitions, read by rows.at n=25A216808
- Coefficients of (x^(1/4)*d/dx)^n for n positive integer.at n=41A223534
- Determinant of the (p_n+1)/2 X (p_n+1)/2 matrix with (i,j)-entry (i,j=0,...,(p_n-1)/2) equal to the Legendre symbol((i^2+j^2)/p_n), where p_n is the n-th prime.at n=6A227968
- Triangle T(n,m) (n >= 1, 0 <= m < n) giving coefficients of (n-1)! P_n, where P_n is the polynomial formula for row n of A213086.at n=46A273528
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 3/2.at n=13A279634
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 9/5.at n=31A279781
- a(n) = coefficient of x^n in A(x) such that C(x)^2 + S(x)^2 = 1 where: C(x) + i*S(x) = Sum_{n=-oo..+oo} i^n * (2*x)^(n^2) * A(x)^n.at n=11A357787
- a(n) = coefficient of x^(2*n) in S(x) defined by: C(x) + i*S(x) = Sum_{n=-oo..+oo} i^n * (2*x)^(n^2) * F(x)^n, where F(x) is the g.f. of A357787 such that C(x)^2 + S(x)^2 = 1.at n=4A357789