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Search: id:A113684
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A113684 Expansion of x(1-x^2-x^3)/((1-x)(1-x-x^2))^2. +0
1
0, 1, 4, 11, 25, 52, 102, 193, 356, 645, 1153, 2040, 3580, 6241, 10820, 18671, 32089, 54956, 93826, 159745, 271300, 459721, 777409, 1312176, 2211000, 3719617, 6248452, 10482323, 17562841, 29391460, 49132638, 82048705, 136884260 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=4a(n-1)-4a(n-2)-2a(n-3)+4a(n-4)-a(n-6); a(n)=sum{k=0..n, (n-k)*C(n-k, k+1)}; a(n)=n*(F(n+2)-1)-(1+((n-5)*F(n-1)+(3n-8)*F(n))/5).

CROSSREFS

Cf. A045925, A006478, A023610.

Sequence in context: A014160 A014162 A014169 this_sequence A014173 A156127 A079467

Adjacent sequences: A113681 A113682 A113683 this_sequence A113685 A113686 A113687

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 05 2005

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


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