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A255006 a(n) is the numerator of polygamma(2n+1, 1) / Pi^(2n+2). 3
1, 1, 8, 8, 128, 176896, 2048, 3703808, 1437433856, 11443306496, 40728264704, 123922856542208, 5519125250048, 56921405366730752, 231279728174802403328, 258681888643685023744, 325620148558310146048, 113023230705723814256110993408 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

Eric Weisstein's MathWorld, Polygamma Function.

Wikipedia, Polygamma Function.

EXAMPLE

Polygamma values {Pi^2/6, Pi^4/15, 8*Pi^6/63, 8*Pi^8/15, 128*Pi^10/33, ...} give numerators {1, 1, 8, 8, 128, ...} and denominators {6, 15, 63, 15, 33, ...}.

MATHEMATICA

a[n_] := PolyGamma[2n+1, 1] / Pi^(2n+2) // Numerator; Table[a[n], {n, 0, 20}]

CROSSREFS

Cf. A255007 (denominators).

Sequence in context: A270118 A270150 A065241 * A074191 A090630 A182922

Adjacent sequences:  A255003 A255004 A255005 * A255007 A255008 A255009

KEYWORD

nonn,frac,easy

AUTHOR

Jean-Fran├žois Alcover, Feb 12 2015

STATUS

approved

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Last modified April 1 14:52 EDT 2020. Contains 333163 sequences. (Running on oeis4.)