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A097341 Sum k=0..floor(n/2), Stirling2(n-k,k)2^k. 1
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; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..25.

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: A248096 A002203 A278331 * A142710 A014431 A201687

Adjacent sequences:  A097338 A097339 A097340 * A097342 A097343 A097344

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Aug 05 2004

STATUS

approved

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Last modified February 19 18:31 EST 2018. Contains 299356 sequences. (Running on oeis4.)