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A032313 "EGJ" (unordered, element, labeled) transform of 2,1,1,1... 1
1, 2, 3, 7, 21, 41, 178, 743, 1893, 7141, 40686, 242045, 734858, 3426541, 16135967, 125737204, 1002664205, 3666743533, 19447711462, 106460517281, 670516591350, 6612951841507, 70889373855917, 294866473433284, 1838126653955566, 10943388725636241, 76804122461785213 (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 + x)*Product_{k > 0} (1 + x^k/k!). - Andrew Howroyd, Sep 11 2018

PROG

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

CROSSREFS

Sequence in context: A222890 A011968 A080021 * A032223 A002863 A047693

Adjacent sequences:  A032310 A032311 A032312 * A032314 A032315 A032316

KEYWORD

nonn

AUTHOR

Christian G. Bower

EXTENSIONS

a(0)=1 prepended and terms a(23) and beyond from Andrew Howroyd, Sep 11 2018

STATUS

approved

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Last modified November 18 16:04 EST 2018. Contains 317323 sequences. (Running on oeis4.)