A224093 Numerators of hypergeometric Cauchy numbers c_(5,n).

1, 5, -5, 5, -605, 6905, -2527375, 24776375, -1029001375, 57920553125, -2634015850300, 55468895477875, -96605491736266750, 74127446398495375, -1494548076726361792375, 40737743114509666081625, -1848374929467071474831875, 28027804919232727412232500

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Takao Komatsu, Hypergeometric Cauchy numbers, Int. J. Number Theory 9 (2013), 545-560.

Mathematica

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

Crossrefs

Cf. A006232.

Sequence in context: A024951 A092519 A198585 * A193555 A161981 A346962

Adjacent sequences: A224090 A224091 A224092 * A224094 A224095 A224096

Keyword

sign,frac

Author

Takao Komatsu, Mar 30 2013

Status

approved