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Search: id:A094762
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A094762 a(n) = Bell(n+1) - 2^n + 1 + n. +0
1
1, 2, 4, 11, 41, 177, 820, 4020, 20900, 115473, 677557, 4211561, 27640354, 190891144, 1382942176, 10480109395, 82864804285, 682076675105, 5832741942932, 51724157711104, 474869815108196, 4506715736350193, 44152005850890065, 445958869286416705 (list; graph; listen)
OFFSET

0,2

FORMULA

Also a(n) = 2^n + Sum_{m=3..n} binomial(n,m)*(Bell(m)-2).

MAPLE

with(combinat); [seq(bell(n+1)-2^n+n+1, n=0..30)];

CROSSREFS

Cf. A000110, A144646.

Sequence in context: A012948 A013182 A013170 this_sequence A099934 A067353 A105996

Adjacent sequences: A094759 A094760 A094761 this_sequence A094763 A094764 A094765

KEYWORD

nonn

AUTHOR

Jean-Yves Tallet (jean-yves.tallet(AT)club-internet.fr) and N. J. A. Sloane (njas(AT)research.att.com), Jan 24 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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