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A097341 Sum k=0..floor(n/2), Stirling2(n-k,k)2^k. +0
2
1, 0, 2, 2, 6, 14, 38, 110, 342, 1134, 3990, 14830, 58006, 237998, 1021462, 4574318, 21325462, 103287598, 518768406, 2697426926, 14498316182, 80440333998, 460112203798, 2710038058862, 16418576767126, 102212840258094 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=sum{k=0..floor(n/2), sum{i=0..k, (-1)^(k+i)i^(n-k)/(i!(k-i)!)}2^k }

CROSSREFS

Cf. A024427, A097342.

Sequence in context: A071109 A005310 A002203 this_sequence A142710 A014431 A142471

Adjacent sequences: A097338 A097339 A097340 this_sequence A097342 A097343 A097344

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Aug 05 2004

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


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