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Search: id:A119359
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A119359 Central coefficients of number triangle A119326. +0
2
0, 1, 1, 7, 31, 106, 386, 1499, 5755, 21886, 83854, 323302, 1248534, 4828916, 18719364, 72711123, 282867795, 1101981430, 4298723990, 16788997874, 65641296578, 256895812108, 1006307847324, 3945185527582, 15478851119966 (list; graph; listen)
OFFSET

0,4

COMMENT

a(n)=A119326(2n,n+1). A119358(n)-a(n)=A071688(n).

FORMULA

G.f.: (1/sqrt(1-4x)+(1/sqrt(1+4x^2)-1)-c(x)+x*c(-x^2))/2, c(x) the g.f. of A000108; a(n)=(C(2n,n+1)+C((n-1)/2)*sin(pi*n/2)-2*0^n-2C(n-1,n/2)*sin(pi*(n-1)/2))/2.

CROSSREFS

Adjacent sequences: A119356 A119357 A119358 this_sequence A119360 A119361 A119362

Sequence in context: A055899 A107392 A054497 this_sequence A055366 A109756 A055580

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 16 2006

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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