A005800 - OEIS

A005800

Generalized Euler numbers of type 3^2n.
(Formerly M2188)

1, 2, 2248, 54103952, 9573516562048, 7512502267832874752, 19387585646491113265435648, 134942950050961684035671842506752, 2199105667698535717737352110310013698048

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OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..8.

Ira M. Gessel, Symmetric functions and P-recursiveness, J. Combin. Theory Ser. A 53 (1990), no. 2, 257-285.

FORMULA

a(n) = (1/36^n) * Sum_{i=0..2*n} binomial(2*n, i) * A000364(n+i).

MATHEMATICA

a[n_] := Sum[Binomial[2n, i]Abs[EulerE[2(n+i)]], {i, 0, 2n}]/36^n

CROSSREFS

CF. A000364 (Euler numbers).

Sequence in context: A028487 A073476 A051103 * A200170 A280899 A288164

Adjacent sequences: A005797 A005798 A005799 * A005801 A005802 A005803

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Simon Plouffe

EXTENSIONS

Edited by Dean Hickerson, Dec 10 2002

STATUS

approved