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Search: id:A132290
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A132290 Main diagonal of triangle A132289: a(n) = A132289(n,n) for n>=0. +0
2
1, 2, 6, 25, 129, 771, 5172, 38280, 308987, 2695586, 25231269, 251869681, 2667876382, 29856632341, 351717286357, 4347357161694, 56222019376378, 758836553993985, 10665452531786380, 155785594704483911 (list; graph; listen)
OFFSET

0,2

COMMENT

Equals the binomial transform of A125276.

FORMULA

G.f. A(x) satisfies: A( x*(1-x)/(1+x-x^2) )/(1+x-x^2) = 1 + x*A(x).

PROGRAM

(PARI) {a(n)=local(A=[1]); if(n==0, 1, for(i=1, n, A=Vec(Ser(concat(concat(A[ #A], A), A[ #A]))/(1-x))); A[n+1])}

CROSSREFS

Cf. A132289, A125276.

Sequence in context: A130619 A030915 A030921 this_sequence A030933 A100325 A020112

Adjacent sequences: A132287 A132288 A132289 this_sequence A132291 A132292 A132293

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 18 2007

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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