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
Examples
1, -1/6, -2/9, 13/108, 22/81, -121/486, -602/729, 18581/17496, ...
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).
Programs
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Maple
[seq(euler(n,1/3),n=0..50)];
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Mathematica
Numerator[EulerE[Range[0,30],1/3]] (* Harvey P. Dale, Apr 29 2012 *)