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 A112499 #15 Jul 07 2025 15:39:52
%S A112499 6,111,1100,8030,48950,265625,1331540,6310976,28719094,126814819,
%T A112499 547457452,2323131730,9729382150,40335953245,165915269268,
%U A112499 678306115284,2759909133030,11187839886855,45220188014220,182359367356230,734088513869846,2950950104332001,11849511321016340,47540932962238760
%N A112499 Fourth column of second-order Eulerian triangle A008517 divided by 4.
%H A112499 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (20,-175,882,-2835,6072,-8777,8458,-5204,1848,-288).
%F A112499 G.f.: x^4*(6-9*x-70*x^2+163*x^3-42*x^4-72*x^5)/(Product_{j=1..4} (1-j*x)^(5-j)). See the comment on column g.f.s under A008517.
%F A112499 a(n) = 4*a(n-1) + (n-2)*A112498(n-1), n>4, with a(4)=6.
%F A112499 a(n+4) = 6*b(n)-9*b(n-1)-70*b(n-2)+163*b(n-3)-42*b(n-4)-72*b(n-5), n>=0, with b(n):=A112503(n).
%Y A112499 Cf. A008517, A112498, A112503.
%K A112499 nonn,easy
%O A112499 4,1
%A A112499 _Wolfdieter Lang_, Oct 14 2005
%E A112499 More terms from _Michel Marcus_, Jul 07 2025