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A005800 Generalized Euler numbers of type 3^2n.
(Formerly M2188)
0
1, 2, 2248, 54103952, 9573516562048, 7512502267832874752, 19387585646491113265435648, 134942950050961684035671842506752, 2199105667698535717737352110310013698048 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
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
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Edited by Dean Hickerson, Dec 10 2002
STATUS
approved

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Last modified March 19 06:05 EDT 2024. Contains 370952 sequences. (Running on oeis4.)