This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A076013 #12 Jun 26 2025 10:36:33
%S A076013 1,252,37422,4286520,419818707,37047106404,3037410645984,
%T A076013 235940417032320,17594974122819093,1271468563282273356,
%U A076013 89638618747098243186,6196581962116572990600,421646012618644954061559
%N A076013 Seventh column of triangle A075504.
%C A076013 The e.g.f. given below is Sum_{m=0..6} (A075513(7,m)*exp(9*(m+1)*x))/6!.
%H A076013 Michael De Vlieger, <a href="/A076013/b076013.txt">Table of n, a(n) for n = 0..554</a>
%F A076013 a(n) = A075504(n+7, 7) = (9^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
%F A076013 a(n) = Sum_{m=0..6} (A075513(7, m)*((m+1)*9)^n)/6!.
%F A076013 G.f.: 1/Product_{k=1..7} (1 - 9*k*x).
%F A076013 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!.
%t A076013 With[{m = 7}, Array[9^(# - m) StirlingS2[#, m] &, 13, m]] (* _Michael De Vlieger_, Dec 24 2017, after _Indranil Ghosh_ at A075504 *)
%Y A076013 Cf. A075504, A075513, A076012.
%K A076013 nonn,easy
%O A076013 0,2
%A A076013 _Wolfdieter Lang_, Oct 02 2002