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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 July 24 14:51 EDT 2021. Contains 346273 sequences. (Running on oeis4.)