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A005450
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Numerator of (1 + Gamma(n))/n.
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3
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2, 1, 1, 7, 5, 121, 103, 5041, 40321, 362881, 329891, 39916801, 36846277, 6227020801, 87178291201, 1307674368001, 1230752346353, 355687428096001, 336967037143579, 121645100408832001, 2432902008176640001
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OFFSET
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1,1
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LINKS
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FORMULA
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Define b(n) = ( (n-1)*(n^2-3*n+1)*b(n-1) - (n-2)^3*b(n-2) )/(n*(n-3)); b(2) = b(3) = 1; a(n) = numerator(b(n)), since b(n)=(1+Gamma(n))/n. - Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006
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MATHEMATICA
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Table[Numerator[(1 + Gamma[n])/n], {n, 50}] (* Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006 *)
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PROG
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(Magma) [Numerator((1 + Factorial(n-1))/n): n in [1..30]]; // G. C. Greubel, Nov 21 2022
(SageMath) [numerator((1+gamma(n))/n) for n in range(1, 31)] # G. C. Greubel, Nov 21 2022
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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Better description from Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006
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STATUS
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approved
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