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A097336 Sum k=0..n, C(n-k, floor(k/2))4^k. +0
2
1, 5, 5, 21, 101, 181, 517, 2133, 5029, 13301, 47429, 127893, 340709, 1099573, 3145861, 8597205, 26190373, 76524149, 214079429, 633125397, 1857511781, 5282782645, 15412788997, 45132977493, 129657499813, 376262123765 (list; graph; listen)
OFFSET

0,2

COMMENT

The sequence sum{k=0..n, C(n-k,floor(k/2))r^k} has g.f. (1+rx)/(1-x-r^2x^3).

FORMULA

G.f. : (1+4x)/(1-x-16x^3); a(n)=a(n-1)+16a(n-3).

CROSSREFS

Cf. A097333, A097334, A097335.

Adjacent sequences: A097333 A097334 A097335 this_sequence A097337 A097338 A097339

Sequence in context: A116400 A052992 A007028 this_sequence A014619 A097016 A090936

KEYWORD

easy,nonn

AUTHOR

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

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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