A005800 Generalized Euler numbers of type 3^2n. (Formerly M2188)

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

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