-1316

Appears in sequences

• Reversion of Jacobi theta_3.at n=5A006195
• Expansion of log(1+x)*log(1+tanh(x)).at n=7A009423
• Determinants of 3 X 3 matrices of discrete blocks of 9 consecutive primes.at n=7A117329
• Expansion of (phi(q) / phi(q^9))^2 in powers of q where phi() is a Ramanujan theta function.at n=50A164613
• Poly-Cauchy numbers c_4^(-n).at n=5A223851
• Coefficients in the expansion of ([s] + [2s]x + [3s]x^2 + ...)/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = e - 1, s = r/(1-r).at n=21A279632
• G.f.: Sum_{n>=1} Sum_{k=0..n} binomial(n,k) * x^(k^2) * (x^n - x^k)^(n-k), ignoring the constant term.at n=49A292808
• G.f. A(x) satisfies: A(x) = 1 - x * A(x/(1 - x)^2) / (1 - x)^2.at n=8A351659
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Stirling transform of j-> (j+1)^k.at n=59A383049
• a(n) = Sum_{k=0..n} (k+1)^6 * Stirling1(n,k).at n=4A383050