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A141682
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An Fibonacci on Fibonacci Invert transform of A000045 in an Vladeta Jovovic A001906 form: a(n)=Sum[Fibonacci[k]*a(n - k), {k, 1, n}].
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4
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1, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860, 33461, 80782, 195025, 470832, 1136689, 2744210, 6625109, 15994428, 38613965, 93222358, 225058681, 543339720, 1311738121, 3166815962, 7645370045, 18457556052, 44560482149, 107578520350
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Essentially the same as A000129. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 14 2008]
Row sums of triangle A155161. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2009]
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FORMULA
| a(n)=Sum[Fibonacci[k]*a(n - k), {k, 1, n}].
G.f.: x*(1-x-x^2)/(1-2x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2009]
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MATHEMATICA
| Clear[a, n] a[0] = 1; a[n_] := a[n] = Sum[Fibonacci[k]*a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 30}]
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CROSSREFS
| Cf. A000045, A001906.
Sequence in context: A048624 A176981 A000129 * A077985 A054198 A054196
Adjacent sequences: A141679 A141680 A141681 * A141683 A141684 A141685
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 07 2008
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