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Denominators of hypergeometric Cauchy numbers c_(4,n).
1

%I #26 Dec 07 2018 12:13:39

%S 1,5,75,875,13125,13125,459375,3609375,54140625,248828125,8211328125,

%T 533203125,130634765625,854150390625,20133544921875,892587158203125,

%U 13388807373046875,3937884521484375,597245819091796875,516415557861328125

%N Denominators of hypergeometric Cauchy numbers c_(4,n).

%H Vincenzo Librandi, <a href="/A224088/b224088.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 = 4}, Denominator[CoefficientList[Series[1/Hypergeometric2F1[1, hh, hh + 1, -x], {x, 0, nn}], x] Range[0, nn]!]]

%Y Cf. A006233.

%K nonn,frac

%O 0,2

%A _Takao Komatsu_, Mar 30 2013