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Search: id:A094723
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A094723 Pell(n+2)-2^n. +0
1
1, 3, 8, 21, 54, 137, 344, 857, 2122, 5229, 12836, 31413, 76686, 186833, 454448, 1103921, 2678674, 6494037, 15732284, 38089677, 92173782, 222961529, 539145416, 1303349513, 3150038746, 7611815613, 18390447188, 44426264421, 107310084894 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A052955.

FORMULA

G.f. : (1-x-x^2)/((1-2x)(1-2x-x^2)); a(n)=((1+sqrt(2))^n(3sqrt(2)/4+1)-(3sqrt(2)/4-1)(1-sqrt(2))^n)-2^n.

CROSSREFS

Cf. A000129.

Sequence in context: A038200 A030015 A103446 this_sequence A127358 A077849 A135473

Adjacent sequences: A094720 A094721 A094722 this_sequence A094724 A094725 A094726

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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