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A032298 "EFJ" (unordered, size, labeled) transform of 2,1,1,1,... 1
1, 2, 1, 7, 9, 21, 148, 281, 997, 3037, 33036, 76275, 352586, 1466713, 6840499, 96591514, 293606525, 1501812845, 7541619580, 45272015807, 252241209910, 5166271223047, 18007882089737, 113281855815782, 613837386060838, 4188738630903441, 29051626448346113 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200

C. G. Bower, Transforms (2)

FORMULA

E.g.f.: (1 + 2*x)*Product_{k >= 2} (1 + x^k/k!). - Andrew Howroyd, Sep 11 2018

PROG

(PARI) seq(n)={Vec(serlaplace((1 + 2*x)*prod(k=2, n, 1 + x^k/k! + O(x*x^n))))} \\ Andrew Howroyd, Sep 11 2018

CROSSREFS

Sequence in context: A238223 A102817 A026252 * A032210 A032135 A032039

Adjacent sequences:  A032295 A032296 A032297 * A032299 A032300 A032301

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(24) and beyond from Andrew Howroyd, Sep 11 2018

STATUS

approved

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Last modified October 21 21:50 EDT 2018. Contains 316429 sequences. (Running on oeis4.)