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Search: id:A116390
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A116390 Expansion of 1/(2*sqrt(1-4x^2)-x-1). +0
2
1, 1, 5, 9, 33, 73, 233, 569, 1693, 4353, 12477, 32985, 92637, 248673, 690549, 1869513, 5158881, 14033161, 38587193, 105246041, 288818305, 788939769, 2162574513, 5912375033, 16196093881, 44300854441, 121311490937 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=sum{k=0..n,sum{j=0..k, C(k,j)(-1)^(k-j)*sum{i=0..floor(n/2), C(i+(j-1)/2,i)C(j,n-2i)4^i}}}.

EXAMPLE

Row sums of number triangle A116389.

CROSSREFS

Sequence in context: A049602 A119031 A034435 this_sequence A028351 A098640 A083832

Adjacent sequences: A116387 A116388 A116389 this_sequence A116391 A116392 A116393

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 12 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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