A020077 a(n) = floor( Gamma(n+3/7)/Gamma(3/7) ).

1, 0, 0, 1, 5, 22, 122, 787, 5852, 49330, 465112, 4850460, 55433829, 688963306, 9251792972, 133490155743, 2059562402902, 33835668047686, 589707357402530, 10867464157846629, 211139303638163096, 4313274345751046120

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..445

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(3/7, n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[3/7, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)

Prog

(PARI) vector(26, n, my(x=3/7); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019
(Magma) [Floor(Gamma(n+3/7)/Gamma(3/7)): n in [0..25]]; // G. C. Greubel, Nov 17 2019
(Sage) [floor(rising_factorial(3/7, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019

Crossrefs

Cf. A220608.

Cf. A020074, A020075, A020076, A020078, A020079.

Sequence in context: A062794 A036235 A159596 * A265998 A203265 A355886

Adjacent sequences: A020074 A020075 A020076 * A020078 A020079 A020080

Keyword

nonn

Author

Simon Plouffe

Status

approved