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Search: id:A112556
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A112556 Sums of squared terms in rows of triangle A112555. +0
4
1, 2, 2, 4, 10, 32, 112, 408, 1514, 5680, 21472, 81644, 311896, 1196132, 4602236, 17757184, 68680170, 266200112, 1033703056, 4020716124, 15662273840, 61092127492, 238582873476, 932758045124, 3650336341240, 14298633670932 (list; graph; listen)
OFFSET

0,2

COMMENT

First differences form A072547 and equals the unsigned central terms of triangle A112555.

FORMULA

G.f.: ( 2*(1+x)/(1-x) + x/(1-4*x)^(1/2) )/(2+x).

PROGRAM

(PARI) {a(n)=local(x=X+X*O(X^n)); polcoeff((2*(1+x)/(1-x)+x/(1-4*x)^(1/2))/(2+x), n, X)}

CROSSREFS

Cf. A112555, A072547.

Sequence in context: A132824 A078801 A002420 this_sequence A054100 A034165 A006181

Adjacent sequences: A112553 A112554 A112555 this_sequence A112557 A112558 A112559

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Sep 21 2005

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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