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 A112499 Fourth column of second-order Eulerian triangle A008517 divided by 4. 0
 6, 111, 1100, 8030, 48950, 265625, 1331540, 6310976, 28719094, 126814819, 547457452, 2323131730, 9729382150, 40335953245, 165915269268, 678306115284, 2759909133030, 11187839886855, 45220188014220, 182359367356230 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 LINKS Table of n, a(n) for n=4..23. FORMULA 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. a(n) = 4*a(n-1) + (n-2)*A112498(n-1), n>4, with a(4)=6. 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). CROSSREFS Sequence in context: A243511 A199222 A260026 * A272391 A197765 A024273 Adjacent sequences: A112496 A112497 A112498 * A112500 A112501 A112502 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 14 2005 STATUS approved

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Last modified February 21 16:55 EST 2024. Contains 370237 sequences. (Running on oeis4.)