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A100325 Antidiagonal sums of square array A100324, which lists the self-convolutions of SHIFT(A003169). +0
2
1, 2, 6, 25, 130, 774, 5009, 34231, 242988, 1773767, 13229272, 100362848, 772016385, 6007208105, 47198747457, 373929821070, 2983774582206, 23958802697161, 193448157014605, 1569625544848531, 12791865082236462 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f. A(x) = (1+G003169(x))/(1-x-x*G003169(x)), where G003169(x) is the g.f. of A003169.

PROGRAM

(PARI) {a(n)=local(A=1+x+x*O(x^n)); if(n==0, 1, for(i=1, n, A=1+x*A/(2-A)^2); sum(k=0, n, polcoeff(A^(n-k+1), k)))}

CROSSREFS

Cf. A003169, A100324.

Sequence in context: A030921 A132290 A030933 this_sequence A020112 A143917 A009326

Adjacent sequences: A100322 A100323 A100324 this_sequence A100326 A100327 A100328

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 17 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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