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A121292 a(n) = Bell(3*n+1). 1
1, 15, 877, 115975, 27644437, 10480142147, 5832742205057, 4506715738447323, 4638590332229999353, 6160539404599934652455, 10293358946226376485095653, 21195039388640360462388656799, 52868366208550447901945575624941, 157450588391204931289324344702531067 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..50

FORMULA

E.g.f.: exp(-1)*Sum_{n>=0} n*exp(n^3*x)/n!.

MATHEMATICA

Table[ BellB[3*n + 1], {n, 0, 10}]  (* Jean-Fran├žois Alcover, Dec 13 2012 *)

PROG

(PARI) a(n)={my(k=3*n+1); k!*polcoef(exp(exp(x + O(x*x^k)) - 1), k)} \\ Andrew Howroyd, Jan 08 2020

CROSSREFS

Cf. A000110, A070906.

Sequence in context: A270962 A223818 A208349 * A208304 A258796 A232364

Adjacent sequences:  A121289 A121290 A121291 * A121293 A121294 A121295

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Aug 24 2006

EXTENSIONS

Terms a(11) and beyond from Andrew Howroyd, Jan 08 2020

STATUS

approved

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Last modified January 17 17:03 EST 2021. Contains 340247 sequences. (Running on oeis4.)