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Search: id:A098182
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A098182 a(n)=3a(n-1)-a(n-2)+a(n-3), a(0)=1,a(1)=1,a(2)=3. +0
5
1, 1, 3, 9, 25, 69, 191, 529, 1465, 4057, 11235, 31113, 86161, 238605, 660767, 1829857, 5067409, 14033137, 38861859, 107619849, 298030825, 825334485, 2285592479, 6329473777, 17528163337, 48540608713, 134423136579 (list; graph; listen)
OFFSET

0,3

FORMULA

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

CROSSREFS

Cf. A098183, A098184.

Sequence in context: A077846 A005322 A103780 this_sequence A007046 A097861 A058719

Adjacent sequences: A098179 A098180 A098181 this_sequence A098183 A098184 A098185

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Aug 30 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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