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 A089518 #6 Jul 02 2023 18:28:10 %S A089518 1,138,10476,683208,42315696,2570768928,155010407616,9318969502848, %T A089518 559578466388736,33585275183251968,2015370124337581056, %U A089518 120928294183739148288,7255843732407562776576,435354129897768445943808 %N A089518 Third column (k=5) of array A078741 ((3,3)-Stirling2) divided by 9. %D A089518 P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205. %H A089518 P. Blasiak, K. A. Penson and A. I. Solomon, <a href="http://www.arXiv.org/abs/quant-ph/0402027">The general boson normal ordering problem.</a> %H A089518 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (90, -1944, 8640). %F A089518 G.f.: (1+48*x)/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)). %F A089518 a(n)= (10*(5*4*3)^n - 8*(4*3*2)^n + (3*2*1)^n)/3 = b(n) + 48*b(n-1), with b(n) := A089513(n). %Y A089518 Cf. A089513 (third column of A089504), A089519, A090219. %K A089518 nonn,easy %O A089518 0,2 %A A089518 _Wolfdieter Lang_, Dec 01 2003