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A035024 Expansion of 1/(1-81*x)^(1/9), related to 9-factorial numbers A045756. 2
1, 9, 405, 23085, 1454355, 96860043, 6683342967, 472607824095, 34027763334840, 2484026723443320, 183321172190117016, 13649094547609621464, 1023682091070721609800, 77248625487721376862600 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

A. Straub, V. H. Moll, T. Amdeberhan, The p-adic valuation of k-central binomial coefficients, Acta Arith. 140 (1) (2009) 31-41, eq (1.10)

FORMULA

a(n) = 9^n*A045756(n)/n!, n >= 1; A045756(n)= (9*n-8)(!^9) := product(9*j-8, j=1..n); G.f. (1-81*x)^(-1/9).

CROSSREFS

Cf. A007559, A034171, A045756, A035012, A035013, A035017, A035018, A035020-A035023.

Sequence in context: A063156 A058850 A151632 * A179433 A091061 A024123

Adjacent sequences:  A035021 A035022 A035023 * A035025 A035026 A035027

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified February 16 20:14 EST 2012. Contains 205962 sequences.