57961

Appears in sequences

• E.g.f.: tan(exp(x)-sec(x))=x+3/3!*x^3-4/4!*x^4+37/5!*x^5-180/6!*x^6...at n=9A013330
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 25.at n=12A031613
• a(n) = ceiling((n + 7/10)^3).at n=37A034133
• E.g.f.: exp(x + x^4/4).at n=10A118934
• E.g.f.: A(x) = exp( Sum_{n>=0} x^(4^n)/4^((4^n-1)/3) ).at n=10A118935
• a(n) = number of strings of length n that can be obtained by starting with abc and repeatedly doubling any substring of length >= 2 in place.at n=39A135156
• a(n) equals the sum of path counts in the (right-aligned Ferrers plots of) the partitions of n.at n=24A180684
• a(n) = n^3 + 2*n^2 + 5*n + 11.at n=38A271779
• Number of (not necessarily maximal) cliques in the n-transposition graph.at n=6A308606
• G.f.: Sum_{k>=1} (k^3 * x^(k^2) / Product_{j=1..k} (1 - x^j)).at n=46A333151
• Numbers k such that A361338(k) = 10.at n=36A361349
• Centered truncated octahedral numbers: the number of integer triples (x,y,z) such that max(|x|,|y|,|z|) <= 2n and |x|+|y|+|z| <= 3n.at n=12A371515