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Search: id:A097192
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A097192 Main diagonal of triangle A097190, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A097191(y)^(n+1), where R_n(1/3) = 9^n for all n>=0. +0
4
1, 24, 612, 15912, 417690, 11027016, 292215924, 7764594552, 206732329947, 5512862131920, 147193418922264, 3934078651195056, 105236603919467748, 2817102935690367408, 75458114348849127000, 2022277464549156603600 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: A(x) = 1/(1-27*x)^(8/9). a(n) = (n+1)*A097193(n).

PROGRAM

(PARI) a(n)=polcoeff(1/(1-27*x+x*O(x^n))^(8/9), n, x)

CROSSREFS

Cf. A097190, A097191, A097193.

Sequence in context: A042106 A055359 A001806 this_sequence A126153 A002553 A006201

Adjacent sequences: A097189 A097190 A097191 this_sequence A097193 A097194 A097195

KEYWORD

nonn

AUTHOR

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

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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