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A020070
a(n) = floor( Gamma(n+7/8)/Gamma(7/8) ).
5
1, 0, 1, 4, 18, 89, 523, 3598, 28341, 251531, 2483877, 27012163, 320769440, 4129906548, 57302453360, 852373993744, 13531437150692, 228343001917931, 4081631159283027, 77040788131467135, 1531185664112909314
OFFSET
0,4
LINKS
MAPLE
Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(7/8, n)), n = 0..25); # G. C. Greubel, Nov 17 2019
MATHEMATICA
Floor[Pochhammer[7/8, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)
PROG
(PARI) vector(26, n, my(x=7/8); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019
(Magma) [Floor(Gamma(n+7/8)/Gamma(7/8)): n in [0..25]]; // G. C. Greubel, Nov 17 2019
(Sage) [floor(rising_factorial(7/8, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved