57312

Appears in sequences

• Expansion of theta_3 / theta_4.at n=23A007096
• Number of recursive calls needed to compute the n-th Fibonacci number F(n), starting with F(1) = F(2) = 1.at n=22A019274
• McKay-Thompson series of class 32A for Monster.at n=47A058629
• a(n) = 2*Fibonacci(n+2) + ((-1)^n - 3)/2.at n=21A066629
• Starting at the chess position shown, a(n) is the number of ways Black can make n consecutive moves, followed by a checkmate in one move by White.at n=25A078993
• Partial sums of repeated Fibonacci sequence.at n=43A094707
• Numbers of polypentagons with one internal vertex (see Cyvin et al. for precise definition).at n=14A122744
• Diagonal sums of number triangle A132046.at n=22A154327
• Length of the n-th term in the modified Look and Say sequence A110393.at n=41A179999
• Expansion of (phi(-q) / phi(q^2))^2 in powers of q where phi() is a Ramanujan theta function.at n=23A210067
• Expansion of phi(q^2)^2 / (phi(-q) * phi(q^4)) in powers of q where phi() is a Ramanujan theta function.at n=23A212318
• Totients t such that the number of divisors of t equals the number of solutions of phi(x) = t.at n=29A305058
• G.f. = Phi^2*F^4, where Phi = g.f. for A028930, F = g.f. for A028959.at n=17A328535
• Partial sums of L(1) - F(1) + L(2) - F(2) + L(3) - F(3) + ..., where L = A000032 and F = A000045.at n=43A355019