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Numerators of hypergeometric Cauchy numbers c_(2,n).
1

%I #23 Aug 03 2013 06:41:55

%S 1,2,-1,8,-62,932,-21338,51032,-1007752,140132944,-5054082632,

%T 171836539136,-1300060412656,973959152800,-26289358879312,

%U 212709659209217216,-9316988852128262528,487408284597381648128,-148372489765444645533568

%N Numerators of hypergeometric Cauchy numbers c_(2,n).

%H Vincenzo Librandi, <a href="/A224090/b224090.txt">Table of n, a(n) for n = 0..300</a>

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

%t With[{nn = 30, hh = 2}, 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