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Search: id:A119373
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A119373 A lower diagonal of pendular trinomial triangle A119369. +0
8
1, 2, 6, 20, 70, 253, 938, 3546, 13617, 52967, 208255, 826315, 3304456, 13304924, 53891402, 219442686, 897772983, 3688451380, 15211545938, 62950542636, 261329456566, 1087985751336, 4541524025769, 19003488710465, 79696345430789 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: A(x) = B(x)^2/(1+x - x*B(x)) = B(x)^2*G(x) = B(x)*H(x), where B(x) is g.f. of A119370, G(x) is g.f. of A119371 and H(x) is g.f. of A119372.

PROGRAM

(PARI) {a(n)=polcoeff(8*(1+x)/((1+x^2)+sqrt((1+x^2)^2-4*x*(1+x)+x*O(x^n)))^2 /(1+4*x+x^2 + sqrt((1+4*x+x^2)^2 - 4*x*(1+x)*(3+2*x)+x*O(x^n))), n)}

CROSSREFS

Cf. A119369, A119370, A119371, A119372, A119374, A119375, A119376.

Sequence in context: A071976 A000984 A087433 this_sequence A151284 A049138 A095929

Adjacent sequences: A119370 A119371 A119372 this_sequence A119374 A119375 A119376

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), May 17 2006

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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