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 A034977 Expansion of 1/(1-64*x)^(1/8), related to octo-factorial numbers A045755. 4
 1, 8, 288, 13056, 652800, 34467840, 1884241920, 105517547520, 6014500208640, 347504456499200, 20294260259553280, 1195516422562775040, 70933974405391319040, 4234212626044897198080, 254052757562693831884800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..500 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) = 8^n*A045755(n)/n!, n >= 1, A045755(n)=(8*n-7)!^8 := product(8*j-7, j=1..n); G.f.: (1-64*x)^(-1/8). D-finite with recurrence: n*a(n) +8*(-8*n+7)*a(n-1)=0. - R. J. Mathar, Jan 28 2020 MATHEMATICA CoefficientList[Series[1/(1-64x)^(1/8), {x, 0, 30}], x] (* Harvey P. Dale, May 20 2011 *) CROSSREFS Cf. A004993, A034855, A045755. Sequence in context: A054607 A254408 A132592 * A065141 A190840 A000842 Adjacent sequences:  A034974 A034975 A034976 * A034978 A034979 A034980 KEYWORD easy,nonn AUTHOR EXTENSIONS Corrected a(11) -- Harvey P. Dale, May 20 2011. STATUS approved

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Last modified February 20 18:30 EST 2020. Contains 332082 sequences. (Running on oeis4.)