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A020066
Integer part of Gamma(n+5/9)/Gamma(5/9).
7
1, 0, 0, 2, 7, 35, 198, 1302, 9843, 84216, 804738, 8494460, 98158213, 1232430908, 16706285646, 243169268856, 3782633071103, 62623591954942, 1099391947653437, 20399828362013787, 398929976857158503
OFFSET
0,4
LINKS
MAPLE
Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(trunc(pochhammer(5/9, n)), n = 0..20); # G. C. Greubel, Nov 13 2019
MATHEMATICA
IntegerPart[Pochhammer[5/9, Range[0, 20]]] (* G. C. Greubel, Nov 13 2019 *)
PROG
(PARI) P(n, x) = gamma(x+n)/gamma(x);
vector(21, n, truncate(P(n-1, 5/9)) ) \\ G. C. Greubel, Nov 13 2019
(Magma) [Truncate(Gamma(n+5/9)/Gamma(5/9)): n in [0..20]]; // G. C. Greubel, Nov 13 2019
(Sage) [int(rising_factorial(5/9, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved