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Search: id:A097081
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A097081 Sum C(n,4k)2^k, k = 0 . . n. +0
1
1, 1, 1, 1, 3, 11, 31, 71, 145, 289, 601, 1321, 2979, 6683, 14743, 32111, 69697, 151777, 332113, 728689, 1598883, 3503627, 7668079, 16774775, 36704017, 80343361, 175916521, 385196761, 843365379, 1846290395, 4041672871, 8847607391 (list; graph; listen)
OFFSET

0,5

FORMULA

G.f. : (1-x)^3/((1-x)^4-2x^4); a(n)=sum{k=0..floor(n/2), binomial(n, 4k)2^k }; a(n)=4a(n-1)-6a(n-2)+4a(n-3)+a(n-4).

CROSSREFS

Cf. A093406.

Sequence in context: A057172 A071568 A093406 this_sequence A107587 A087323 A034543

Adjacent sequences: A097078 A097079 A097080 this_sequence A097082 A097083 A097084

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 23 2004

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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