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A179433 Column 1 of triangle A179430. 4
1, 9, 405, 121500, 247203171, 3543210805275, 373203783345533355, 299059356226224581923626, 1870707073035678423776605220985, 93075349691648156957700437094276630105 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

T=A179430 is a triangular matrix where column 0 of T^m equals C(m*3^(n-1), n) at row n for n>=0, m>=0.

LINKS

Table of n, a(n) for n=0..9.

EXAMPLE

G.f.: A(x) = 1 + 9*x + 405*x^2 + 121500*x^3 + 247203171*x^4 +...

PROG

(PARI) {a(n)=local(M=matrix(n+2, n+2, r, c, binomial(r*3^(c-2), c-1)), P); P=matrix(n+2, n+2, r, c, binomial((r+1)*3^(c-2), c-1)); (P~*M~^-1)[n+2, 2]}

CROSSREFS

Cf. A179430, A179431, A136393, A179432, A179434.

Sequence in context: A058850 A151632 A035024 * A091061 A024123 A218140

Adjacent sequences:  A179430 A179431 A179432 * A179434 A179435 A179436

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 21 2010

STATUS

approved

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Last modified May 26 17:17 EDT 2019. Contains 323597 sequences. (Running on oeis4.)