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A182666 E.g.f.: Product_{n>=1} Sum_{k>=0} (x^k/k!)^n. 1
1, 1, 3, 13, 67, 471, 3591, 33573, 329043, 3919387, 47827093, 663429603, 9764977399, 156308277139, 2653548775671, 48880554540093, 934560430625523, 19120475459863299, 413057291727064689, 9325822483756554831, 221409989926026560757, 5513060361601128645777 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..300

EXAMPLE

E.g.f.: A(x) = 1 + x + 3*x^2/2! + 13*x^3/3! + 67*x^4/4! + 471*x^5/5! + 3591*x^6/6! +...

where

A(x) = [Sum_{k>=0} x^k/k!] * [Sum_{k>=0} (x^k/k!)^2] * [Sum_{k>=0} (x^k/k!)^3] * [Sum_{k>=0} (x^k/k!)^4] *...

PROG

(PARI) {a(n)=n!*polcoeff(prod(m=1, n, sum(k=0, n\m+1, x^(m*k)/k!^m)+x*O(x^n)), n)}

for(n=0, 30, print1(a(n), ", "))

CROSSREFS

Sequence in context: A194019 A020017 A060014 * A042659 A054132 A047149

Adjacent sequences:  A182663 A182664 A182665 * A182667 A182668 A182669

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 23 2012

STATUS

approved

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Last modified April 19 08:34 EDT 2019. Contains 322241 sequences. (Running on oeis4.)