-57312

Appears in sequences

• Expansion of k/q^(1/2) in powers of q, where k is the elliptic function defined by sqrt(k) = theta_2/theta_3.at n=11A127393
• Expansion of 1+k in powers of q^(1/2) where q is Jacobi's nome and k is the elliptic modulus.at n=23A134746
• Expansion of theta_4/theta_3 in powers of q.at n=23A189925
• Expansion of (phi(q) / phi(q^4))^2 in powers of q where phi() is a Ramanujan theta function.at n=46A216060
• Expansion of phi(q^2)^2 / (phi(q) * phi(q^4)) in powers of q where phi() is a Ramanujan theta function.at n=23A232358
• n^2 * a(n) = 2*(7*n^2 - 7*n + 3)*a(n-1) - 12*(7*n^2 - 14*n + 9)*a(n-2) + 39*(7*n^2 - 21*n + 18) * a(n-3) - 72*(7*n^2 - 28*n + 30)*a(n-4) + 72*(7*n^2 - 35*n + 45) * a(n-5) - 216*(n-3)^2 * a(n-6), with a(0)=1, a(1)=6, a(2)=24, a(3)=78, a(4)=216, a(5)=504.at n=10A276179
• Partial sums of F(1) - L(1) + F(2) - L(2) + F(3) - L(3) + ..., where F = A000045 and L = A000032.at n=43A355018