A224091 Numerators of hypergeometric Cauchy numbers c_(3,n).

1, 3, -3, 21, -1971, 5751, -266181, 854433, -1087330509, 6616763613, -1057298446683, 25843570964217, -737661045963969, 34231787523995913, -10476141073704096633, 113994653806532247759, -3044068940426043606244569, 11175422214362891188037157

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 = 3}, Numerator[CoefficientList[Series[1/Hypergeometric2F1[1, hh, hh + 1, -x], {x, 0, nn}], x] Range[0, nn]!]]

Crossrefs

Cf. A006232.

Sequence in context: A369751 A214778 A180754 * A224751 A368766 A303228

Adjacent sequences: A224088 A224089 A224090 * A224092 A224093 A224094

Keyword

sign,frac

Author

Takao Komatsu, Mar 30 2013

Status

approved