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A255007 a(n) is the denominator of polygamma(2n+1, 1) / Pi^(2n+2). 3

%I

%S 6,15,63,15,33,4095,3,255,3591,825,69,4095,3,435,21483,255,3,8636355,

%T 3,33825,18963,345,141,69615,33,795,10773,435,177,425900475,3,255,

%U 97083,15,2343,630453915,3,15,4977,575025,249

%N a(n) is the denominator of polygamma(2n+1, 1) / Pi^(2n+2).

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/PolygammaFunction.html">Polygamma Function</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Polygamma_function">Polygamma Function</a>.

%e 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, ...}.

%t a[n_] := PolyGamma[2n+1, 1] / Pi^(2n+2) // Denominator; Table[a[n], {n, 0, 40}]

%Y Cf. A255006 (numerators).

%K nonn,frac,easy

%O 0,1

%A _Jean-Fran├žois Alcover_, Feb 12 2015

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