A020041 a(n) = round( Gamma(n+3/4)/Gamma(3/4) ).
1, 1, 1, 4, 14, 64, 370, 2495, 19339, 169215, 1649844, 17735823, 208395916, 2657047924, 36534408953, 538882532061, 8487399879954, 142163947989232, 2523410076808877, 47313938940166438, 934450294068287158
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..445
Programs
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Magma
[Round(Gamma(n+3/4)/Gamma(3/4)): n in [0..30]]; // G. C. Greubel, Dec 06 2019
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Maple
Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end; seq( round(pochhammer(3/4,n)), n=0..30); # G. C. Greubel, Dec 06 2019
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Mathematica
Table[Round[Pochhammer[3/4,n]], {n,0,30}] (* G. C. Greubel, Dec 06 2019 *) -
PARI
x=3/4; vector(30, n, round(gamma(n-1+x)/gamma(x)) ) \\ G. C. Greubel, Dec 06 2019
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Sage
[round(rising_factorial(3/4,n)) for n in (0..30)] # G. C. Greubel, Dec 06 2019
Comments