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Search: id:A002115
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| A002115 |
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Generalized Euler numbers.
(Formerly M5082 N2199)
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+0
1
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| 1, 1, 19, 1513, 315523, 136085041, 105261234643, 132705221399353, 254604707462013571, 705927677520644167681, 2716778010767155313771539, 14050650308943101316593590153, 95096065132610734223282520762883
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
D. H. Lehmer, Lacunary recurrence formulas for the numbers of Bernoulli and Euler, Annals Math., 36 (1935), 637-649.
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FORMULA
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E.g.f.: Sum_{n >= 0} a(n)*x^n/(3*n)! = 1/(1/3*exp(-x^(1/3))+2/3*exp(1/2*x^(1/3))*cos(1/2*3^(1/2)*x^(1/3))). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 13 2005
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CROSSREFS
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Cf. A000364.
Adjacent sequences: A002112 A002113 A002114 this_sequence A002116 A002117 A002118
Sequence in context: A130037 A047910 A051847 this_sequence A054949 A068748 A098846
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 13 2005
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