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Numerators of hypergeometric Cauchy numbers c_(5,n).
1

%I #26 Dec 07 2018 12:25:14

%S 1,5,-5,5,-605,6905,-2527375,24776375,-1029001375,57920553125,

%T -2634015850300,55468895477875,-96605491736266750,74127446398495375,

%U -1494548076726361792375,40737743114509666081625,-1848374929467071474831875,28027804919232727412232500

%N Numerators of hypergeometric Cauchy numbers c_(5,n).

%H Vincenzo Librandi, <a href="/A224093/b224093.txt">Table of n, a(n) for n = 0..300</a>

%H Takao Komatsu, <a href="https://doi.org/10.1142/S1793042112501473">Hypergeometric Cauchy numbers</a>, Int. J. Number Theory 9 (2013), 545-560.

%t With[{nn = 30, hh = 5}, Numerator[CoefficientList[Series[1/Hypergeometric2F1[1, hh, hh + 1, -x], {x, 0, nn}], x] Range[0, nn]!]]

%Y Cf. A006232.

%K sign,frac

%O 0,2

%A _Takao Komatsu_, Mar 30 2013