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A097119 Expansion of (1-x)^2/((1-x)^3-2x^4). +0
4
1, 1, 1, 1, 3, 9, 21, 41, 75, 141, 281, 577, 1179, 2369, 4709, 9353, 18659, 37365, 74889, 149937, 299827, 599289, 1198101, 2396137, 4793051, 9587421, 19175449, 38349409, 76695403, 153388273, 306778917, 613566153, 1227140787, 2454279365 (list; graph; listen)
OFFSET

0,5

FORMULA

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

CROSSREFS

Sequence in context: A064999 A100135 A024173 this_sequence A011843 A080549 A084569

Adjacent sequences: A097116 A097117 A097118 this_sequence A097120 A097121 A097122

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 25 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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