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 A076013 Seventh column of triangle A075504. 4
 1, 252, 37422, 4286520, 419818707, 37047106404, 3037410645984, 235940417032320, 17594974122819093, 1271468563282273356, 89638618747098243186, 6196581962116572990600, 421646012618644954061559 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The e.g.f. given below is Sum_{m=0..6} (A075513(7,m)*exp(9*(m+1)*x))/6!. LINKS Michael De Vlieger, Table of n, a(n) for n = 0..554 FORMULA a(n) = A075504(n+7, 7) = (9^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2). a(n) = Sum_{m=0..6} (A075513(7, m)*((m+1)*9)^n)/6!. G.f.: 1/Product_{k=1..7} (1 - 9*k*x). E.g.f.: (d^7/dx^7)(((exp(9*x)-1)/9)^7)/7! = (exp(9*x) - 384*exp(18*x) + 10935*exp(27*x) - 81920*exp(36*x) + 234375*exp(45*x) - 279936*exp(54*x) + 117649*exp(63*x))/6!. MATHEMATICA With[{m = 7}, Array[9^(# - m) StirlingS2[#, m] &, 13, m]] (* Michael De Vlieger, Dec 24 2017, after Indranil Ghosh at A075504 *) CROSSREFS Cf. A076012. Sequence in context: A109924 A281032 A047831 * A180886 A078263 A289293 Adjacent sequences: A076010 A076011 A076012 * A076014 A076015 A076016 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 02 2002 STATUS approved

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Last modified December 7 14:31 EST 2022. Contains 358656 sequences. (Running on oeis4.)