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Search: id:A117397
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| 1, 4, 19, 109, 739, 5779, 51139, 504739, 5494339, 65369539, 843747139, 11741033539, 175200329539, 2790549065539, 47251477577539, 847548190793539, 16053185741897539, 320165936763977539, 6706533708227657539
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OFFSET
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0,2
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COMMENT
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Equals the partial sums of column 3 of triangle A092582.
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FORMULA
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G.f. satisfies: A(x) = (1-x)/(1-5*x+5*x^2)*(1 + x^2*deriv(A(x))). a(n) = 1 + Sum_{k=4..n+3} k!*3/4! for n>0, with a(0)=1.
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MAPLE
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a:=n->sum(j!/8, j=2..n): seq(a(n), n=3..21); - Zerinvary Lajos (Zerinvary Lajos(zerinvarylajos(AT)yahoo.com), Jan 08 2007
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PROGRAM
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(PARI) a(n)=1+sum(k=4, n+3, k!)*3/4!
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CROSSREFS
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Cf. A117396 (triangle), A014288 (column 1), A056199 (column 2), A003422 (row sums); A092582.
Sequence in context: A082030 A052751 A091643 this_sequence A004212 A060905 A127548
Adjacent sequences: A117394 A117395 A117396 this_sequence A117398 A117399 A117400
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Mar 11 2006
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