A156179 Numerator of Euler(n,1/3).

1, -1, -2, 13, 22, -121, -602, 18581, 30742, -305071, -2523002, 61203943, 303692662, -4353296221, -50402079002, 6669149100757, 11030684333782, -206772189255571, -3077986048956602, 128970681211645873, 1066578948824962102, -24697503335329725121, -449342758735568563802

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Michael E. Hoffman, Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences, The Electronic Journal of Combinatorics, Volume 6.1 (1999): Research paper R21, 13 p. See Eq. (14).

Example

1, -1/6, -2/9, 13/108, 22/81, -121/486, -602/729, 18581/17496, ...

Maple

[seq(euler(n, 1/3), n=0..50)];

Mathematica

Numerator[EulerE[Range[0, 30], 1/3]] (* Harvey P. Dale, Apr 29 2012 *)

Crossrefs

Cf. A156180 and A079144.

Terms of even indices give A210657.

Sequence in context: A061385 A366208 A304815 * A090519 A018540 A045388

Adjacent sequences: A156176 A156177 A156178 * A156180 A156181 A156182

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 07 2009

Status

approved