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A005450
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Numerator of (1+Gamma[n])/n.
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2
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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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Table of n, a(n) for n=1..21.
Achilleas Sinefakopoulos, Problem 10578 (Submitted solution.)
H. S. Wilf, Problem 10578, Amer. Math. Monthly, 104 (1997), 270.
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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; sequence gives numerators of 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, 1, 80}] (* Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006 *)
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CROSSREFS
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Cf. A005451 (denominators).
Sequence in context: A220725 A333142 A196832 * A039760 A156882 A266309
Adjacent sequences: A005447 A005448 A005449 * A005451 A005452 A005453
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane.
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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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