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 A112499 Fourth column of second-order Eulerian triangle A008517 divided by 4. 0

%I #3 Oct 12 2012 14:40:24

%S 6,111,1100,8030,48950,265625,1331540,6310976,28719094,126814819,

%T 547457452,2323131730,9729382150,40335953245,165915269268,

%U 678306115284,2759909133030,11187839886855,45220188014220,182359367356230

%N Fourth column of second-order Eulerian triangle A008517 divided by 4.

%F G.f.: x^4*(6-9*x-70*x^2+163*x^3-42*x^4-72*x^5)/product((1-j*x)^(5-j), j=1..4). See the comment on column g.f.s under A008517.

%F a(n) = 4*a(n-1) + (n-2)*A112498(n-1), n>4, with a(4)=6.

%F 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).

%K nonn,easy

%O 4,1

%A _Wolfdieter Lang_, Oct 14 2005

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Last modified April 20 12:36 EDT 2024. Contains 371844 sequences. (Running on oeis4.)