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 A075923 #8 Dec 27 2017 01:34:23 %S A075923 1,70,3185,120050,4084101,130590390,4012419145,120031392250, %T A075923 3525181576301,102196720335710,2935410756419505,83751552660170850, %U A075923 2377917929557166101,67273652916778177030,1898215473677945050265 %N A075923 Fourth column of triangle A075502. %C A075923 The e.g.f. given below is Sum_{m=0..3} A075513(4,m)*exp(7*(m+1)*x)/3!. %F A075923 a(n) = A075502(n+4, 4) = (7^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2). %F A075923 a(n) = (-7^n + 24*14^n - 81*21^n + 64*28^n)/3!. %F A075923 G.f.: 1/Product_{k=1..4} (1 - 7*k*x). %F A075923 E.g.f.: (d^4/dx^4)(((exp(7*x)-1)/7)^4)/4! = (-exp(7*x) + 24*exp(14*x) - 81*exp(21*x) + 64*exp(28*x))/3!. %Y A075923 Cf. A075922, A075924. %K A075923 nonn,easy %O A075923 0,2 %A A075923 _Wolfdieter Lang_, Oct 02 2002