A020131 Ceiling of Gamma(n+3/4)/Gamma(3/4).

1, 1, 2, 4, 14, 65, 370, 2496, 19339, 169215, 1649844, 17735823, 208395916, 2657047924, 36534408954, 538882532061, 8487399879955, 142163947989233, 2523410076808877, 47313938940166439, 934450294068287158, 19389843601916958526, 421729098341693847928, 9594336987273535040342

Offset

0,3

Links

Paolo Xausa, Table of n, a(n) for n = 0..400

Maple

Digits := 64:f := proc(n, x) ceil(GAMMA(n+x)/GAMMA(x)); end;

Mathematica

Ceiling[Pochhammer[3/4, Range[0, 25]]] (* Paolo Xausa, Jan 16 2026 *)

Crossrefs

Cf. A020041, A020086.

Sequence in context: A055790 A322623 A245139 * A261002 A032147 A007712

Adjacent sequences: A020128 A020129 A020130 * A020132 A020133 A020134

Keyword

nonn

Author

Simon Plouffe

Status

approved