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Search: id:A112499
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| A112499 |
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Fourth column of second-order Eulerian triangle A008517 divided by 4. |
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+0
1
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| 6, 111, 1100, 8030, 48950, 265625, 1331540, 6310976, 28719094, 126814819, 547457452, 2323131730, 9729382150, 40335953245, 165915269268, 678306115284, 2759909133030, 11187839886855, 45220188014220, 182359367356230
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OFFSET
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4,1
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FORMULA
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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).
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CROSSREFS
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Sequence in context: A119814 A050884 A156554 this_sequence A024273 A024274 A162081
Adjacent sequences: A112496 A112497 A112498 this_sequence A112500 A112501 A112502
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 14 2005
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