A097302 Denominators of rationals used in the Euler-Maclaurin type derivation of Stirling's formula for N!.

12, 60, 21, 1, 11, 13, 1, 17, 19, 1, 23, 1, 1, 29, 31, 1, 1, 37, 1, 41, 43, 1, 47, 1, 1, 53, 1, 1, 59, 61, 1, 1, 67, 1, 71, 73, 1, 1, 79, 1, 83, 1, 1, 89, 1, 1, 1, 97, 1, 101, 103, 1, 107, 109, 1, 113, 1, 1, 1, 1, 1, 1, 127, 1, 131, 1, 1, 137, 139, 1, 1, 1, 1, 149, 151, 1, 1, 157, 1, 1, 163

Offset

0,1

Comments

Numerators are given in A097301 with comments and references.

Links

Table of n, a(n) for n=0..80.

Formula

a(n)=denominator(B(n)) with B(n):=Bernoulli(2*n+2)*(2*n)!/(2*n+2) and Bernoulli(n)= A027641(n)/A027642(n).

Crossrefs

Sequence in context: A231215 A231340 A099321 * A075367 A359419 A372135

Adjacent sequences: A097299 A097300 A097301 * A097303 A097304 A097305

Keyword

nonn,frac,easy

Author

Wolfdieter Lang, Aug 13 2004

Status

approved