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A097187 Antidiagonal sums of triangle A097186, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A057083(y)^(n+1), where R_n(1/3) = 3^n for all n>=0. +0
1
1, 1, 7, 10, 58, 94, 499, 868, 4360, 7951, 38407, 72508, 339997, 659380, 3019639, 5984968, 26880052, 54249628, 239683171, 491235070, 2139947788, 4444675456, 19125212575, 40190140696, 171064560433, 363227946394, 1531088393647 (list; graph; listen)
OFFSET

0,3
FORMULA

G.f.: A(x) = 3*x/((1-9*x^2) + (3*x-1)*(1-9*x^2)^(2/3)). G.f.: A(x) = A004988(x^2)/(1 - x*A097188(x^2)).

PROGRAM

(PARI) a(n)=polcoeff(3*x/((1-9*x^2)+(3*x-1)*(1-9*x^2+x^2*O(x^n))^(2/3)), n, x)

CROSSREFS

Cf. A097186, A057083, A004988, A097188.

Sequence in context: A166661 A025632 A038276 this_sequence A115904 A136865 A123797

Adjacent sequences: A097184 A097185 A097186 this_sequence A097188 A097189 A097190

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 03 2004

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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