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A005450 Numerator of (1+Gamma[n])/n. 2
2, 1, 1, 7, 5, 121, 103, 5041, 40321, 362881, 329891, 39916801, 36846277, 6227020801, 87178291201, 1307674368001, 1230752346353, 355687428096001, 336967037143579, 121645100408832001, 2432902008176640001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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.

FORMULA

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

MATHEMATICA

Table[Numerator[(1 + Gamma[n])/n], {n, 1, 80}] (* Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006 *)

CROSSREFS

Cf. A005451 (denominators).

Sequence in context: A220725 A333142 A196832 * A039760 A156882 A266309

Adjacent sequences:  A005447 A005448 A005449 * A005451 A005452 A005453

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Better description from Joseph Biberstine (jrbibers(AT)indiana.edu), Sep 12 2006

STATUS

approved

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Last modified April 10 15:07 EDT 2021. Contains 342845 sequences. (Running on oeis4.)