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A325209
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Numbers k such that Gamma(k - 1/2) has fractional part < 1/2.
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2
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3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 24, 25, 26, 31, 32, 33, 36, 37, 39, 41, 42, 46, 48, 49, 51, 53, 56, 61, 62, 63, 66, 69, 70, 71, 74, 75, 76, 77, 79, 80, 81, 83, 84, 85, 86, 87, 89, 94, 97, 98, 100, 102, 103, 104, 105, 106, 109, 110
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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Approximations for the first 6 values of Gamma(k-1/2) follow:
1.77245, 0.886227, 1.32934, 3.32335, 11.6317, 52.3428.
Exact values are v, v/2, 3v/4, 15v/8, ..., where v = sqrt(Pi) = A002161.
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MATHEMATICA
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t[n_] := N[Gamma[n - 1/2], 300] ; r = Range[200];
Select[r, FractionalPart[t[#]] < 1/2 &] (* A325209 *)
Select[r, FractionalPart[t[#]] > 1/2 &] (* A325210 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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