-624

Appears in sequences

• Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^3.at n=5A004404
• Expansion of a modular function for gamma_0(6).at n=12A006708
• Shifts left when Moebius transformation applied twice.at n=37A007551
• Expansion of sin(cosh(x)*x).at n=3A009447
• Expansion of e.g.f. sin(x/cos(x)) (odd powers only).at n=3A009562
• Expansion of e.g.f. sinh(sin(log(1+x))).at n=7A009586
• a(n) = 1 - n^4.at n=5A024002
• a(n) = -(n + 1)*(2*n^2 + n - 12)/6.at n=12A058372
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=45A060023
• Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).at n=27A076792
• Expansion of eta(q)^8 / eta(q^2)^4 in powers of q.at n=45A096727
• Triangle T read by rows: inverse of fibonomial triangle (A010048).at n=30A103910
• Infinite square array read by antidiagonals: T(m, 0) = 1, T(m, 1) = m; T(m, k) = (m - k + 1) T(m+1, k-1) - (k-1) (m+1) T(m+2, k-2).at n=49A105937
• Row sums of number triangle A106270.at n=7A106271
• McKay-Thompson series of class 20C for the Monster group.at n=63A112159
• Expansion of E(k) * K(k) * (2/Pi)^2 in powers of q^2 where E(), K() are complete elliptic integrals and the nome q = exp( -Pi * K(k') / K(k)).at n=40A122858
• Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(n,4).at n=5A126958
• Expansion of e.g.f.: sqrt(1+4*x)/(1+2*x).at n=4A126967
• Infinite square array read by antidiagonals: Q(m, 0) = 1, Q(m, 1) = 1; Q(m, 2k) = (m - 2k + 1)*Q(m+1, 2k-1) - (2k-1)*Q(m+2,2k-2), m*Q(m, 2k+1) = (m - 2k)*Q(m+1, 2k) - 2k(m+1)*Q(m+2, 2k-1).at n=63A127080
• Q(2,n), where Q(m,k) is defined in A127080 and A127137.at n=8A127144