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%I #9 Dec 25 2017 04:01:31
%S 1,168,17024,1354752,93499392,5881430016,346987429888,19548208103424,
%T 1064285732077568,56464495286943744,2936605030892961792,
%U 150373246607730671616,7606369972746352328704,381025640076812853706752
%N Sixth column of triangle A075503.
%C The e.g.f. given below is Sum_{m=0..5} (A075513(6,m)*exp(8*(m+1)*x))/5!.
%H Michael De Vlieger, <a href="/A076006/b076006.txt">Table of n, a(n) for n = 0..593</a>
%F a(n) = A075503(n+6, 6) = (8^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
%F a(n) = Sum_{m=0..5} (A075513(6, m)*((m+1)*8)^n)/5!.
%F G.f.: 1/Product_{k=1..6} (1 - 8*k*x).
%F E.g.f.: (d^6/dx^6)(((exp(8*x)-1)/8)^6)/6! = (-exp(8*x) + 160*exp(16*x) - 2430*exp(24*x) + 10240*exp(32*x) - 15625*exp(40*x) + 7776*exp(48*x))/5!.
%t With[{m = 6}, Array[8^(# - m) StirlingS2[#, m] &, 14, m]] (* _Michael De Vlieger_, Dec 24 2017, after _Indranil Ghosh_ at A075503 *)
%Y Cf. A076005, A076007.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 02 2002
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