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Search: id:A099322
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| A099322 |
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An inverse Catalan transform of J(3n)/J(3). |
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+0
1
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| 0, 1, 6, 43, 291, 1992, 13595, 92845, 633966, 4329023, 29560367, 201850896, 1378323999, 9411785201, 64267689006, 438847231427, 2996636337771, 20462312853336, 139725412120339, 954104794142789, 6515035056168654
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The g.f. is obtained from that of A015565 through the mapping g(x)->g(x(1-x)). A015565 may be retrieved through the mapping g(x)->g(xc(x)), where c(x) is the g.f. of A000108.
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FORMULA
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G.f.: x(1-x)/(1-7x-x^2+16x^3-8x^4); a(n)=7a(n-1)+a(n-2)-16a(n-3)+8a(n-4); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*J(3n-3k)/J(3)}.
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CROSSREFS
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Cf. A001045.
Adjacent sequences: A099319 A099320 A099321 this_sequence A099323 A099324 A099325
Sequence in context: A101071 A097298 A012872 this_sequence A014989 A015552 A091129
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 17 2004
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