A224090 Numerators of hypergeometric Cauchy numbers c_(2,n).

1, 2, -1, 8, -62, 932, -21338, 51032, -1007752, 140132944, -5054082632, 171836539136, -1300060412656, 973959152800, -26289358879312, 212709659209217216, -9316988852128262528, 487408284597381648128, -148372489765444645533568

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 = 2}, Numerator[CoefficientList[Series[1/Hypergeometric2F1[1, hh, hh + 1, -x], {x, 0, nn}], x] Range[0, nn]!]]

Crossrefs

Cf. A006232.

Sequence in context: A079899 A333469 A239444 * A013327 A359625 A009349

Adjacent sequences: A224087 A224088 A224089 * A224091 A224092 A224093

Keyword

sign,frac

Author

Takao Komatsu, Mar 30 2013

Status

approved