A020078 a(n) = floor( Gamma(n+2/7)/Gamma(2/7) ).

1, 0, 0, 0, 2, 11, 62, 392, 2862, 23714, 220204, 2264965, 25561751, 314044378, 4172303889, 59604341272, 911094930876, 14837831731419, 256482519928831, 4689966078698628, 90449345803473558, 1834829586299035048

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A220605.

Cf. A020074, A020075, A020076, A020077, A020079.

Programs

Magma

[Floor(Gamma(n+2/7)/Gamma(2/7)): n in [0..25]]; // G. C. Greubel, Nov 17 2019

Maple

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(2/7,n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[2/7, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)

PARI

vector(26, n, my(x=2/7); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019

Sage

[floor(rising_factorial(2/7, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019