-704
domain: Z
Appears in sequences
- Glaisher's function V(n).at n=11A002611
- Expansion of 1/theta_3(q)^2 in powers of q.at n=7A004403
- Expansion of e.g.f.: tanh(x)*exp(sinh(x)).at n=8A009829
- Cusp form of weight 13/2 associated to the unique cusp form of weight 12 under Shimura correspondence.at n=15A054891
- Image of Euler totient function (A000010) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=38A056228
- Array of coefficients of polynomials p(n,x) = 2^(n-1)*Product_{i=0..n} (x - cos(i*Pi/n)) of degree (n+1) with P(-1,x) = 1, P(0,x) = 0.at n=63A076626
- Riordan array (1/(1+2*x), x*(1+x)/(1+2*x)^2).at n=32A123876
- Expansion of (1-2*x)/(1-2*x+2*x^3).at n=18A124395
- Expansion of (theta_4(q) / theta_3(q))^4 in powers of q.at n=3A128692
- Table, read by rows, of coefficients of characteristic polynomials of almost prime matrices.at n=26A131175
- Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,2}(x) with 0 omitted (exponents in increasing order).at n=31A136388
- a(n) = (1-2n)*2^n.at n=6A143126
- Net gain in number of ON cells at stage n of the cellular automaton described in A079317.at n=37A151921
- Net gain in number of ON cells at stage n of the cellular automaton described in A079317.at n=39A151921
- Triangle of coefficients of the polynomials defined by q^binomial(n, 2)*QPochhammer(x, 1/q, n), where q = -2.at n=16A157785
- Numerator of a-sequence for Sheffer triangle A060081.at n=6A176726
- a(n) = 4*a(n-1) - 6*a(n-2), with a(0)=0, a(1)=1.at n=10A190965
- E.g.f.: Sum_{n>=0} 2^(-n*(n+1)/2!) * Product_{k=0..n} tanh(2^k*x).at n=4A194457
- Let CZ(0,x)=1, CZ(1,x)=0 , CZ(2,x)=x^2-1 and CZ(n,x)=2*x*CZ(n-1,x) - CZ(n-2,x) for n > 2. This sequence is the triangle of polynomial coefficients in order of decreasing exponents.at n=57A201863
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(3i-j, 3j-i), as in A204156.at n=10A204157