A020132 Ceiling of Gamma(n+1/4)/Gamma(1/4).

1, 1, 1, 1, 3, 10, 51, 319, 2311, 19061, 176311, 1807182, 20330789, 249052162, 3299941146, 47024161318, 717118460091, 11653174976469, 201017268344079, 3668565147279424, 70619879085128904, 1430052551473860293, 30388616718819531222, 676146721993734569682, 15720411286354328745086

Offset

0,5

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[1/4, Range[0, 25]]] (* Paolo Xausa, Jan 16 2026 *)

Crossrefs

Cf. A020042, A020087.

Sequence in context: A288953 A192482 A233537 * A330042 A241459 A350895

Adjacent sequences: A020129 A020130 A020131 * A020133 A020134 A020135

Keyword

nonn

Author

Simon Plouffe

Extensions

More terms from Paolo Xausa, Jan 16 2026

Status

approved