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Search: id:A005800
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| A005800 |
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Generalized Euler numbers of type 3^2n.
(Formerly M2188)
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+0
1
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| 1, 2, 2248, 54103952, 9573516562048, 7512502267832874752, 19387585646491113265435648, 134942950050961684035671842506752, 2199105667698535717737352110310013698048
(list; graph; listen)
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OFFSET
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0,2
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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).
Gessel, Ira M.; Symmetric functions and P-recursiveness. J. Combin. Theory Ser. A 53 (1990), no. 2, 257-285.
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FORMULA
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a(n) = 1/36^n * sum_{i=0..2*n} binomial(2*n, i) * A000364(n+i)
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MATHEMATICA
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a[n_] := Sum[Binomial[2n, i]Abs[EulerE[2(n+i)]], {i, 0, 2n}]/36^n
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CROSSREFS
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Sequence in context: A028487 A073476 A051103 this_sequence A133074 A135234 A114067
Adjacent sequences: A005797 A005798 A005799 this_sequence A005801 A005802 A005803
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 10 2002
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