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Numerators of hypergeometric Cauchy numbers c_(3,n).
1

%I #26 Dec 07 2018 12:18:34

%S 1,3,-3,21,-1971,5751,-266181,854433,-1087330509,6616763613,

%T -1057298446683,25843570964217,-737661045963969,34231787523995913,

%U -10476141073704096633,113994653806532247759,-3044068940426043606244569,11175422214362891188037157

%N Numerators of hypergeometric Cauchy numbers c_(3,n).

%H Vincenzo Librandi, <a href="/A224091/b224091.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 = 3}, 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