Search: id:A141682 Results 1-1 of 1 results found. %I A141682 %S A141682 1,1,2,5,12,29,70,169,408,985,2378,5741,13860,33461,80782,195025,470832, %T A141682 1136689,2744210,6625109,15994428,38613965,93222358,225058681,543339720, %U A141682 1311738121,3166815962,7645370045,18457556052,44560482149,107578520350 %N A141682 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}]. %C A141682 Essentially the same as A000129. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 14 2008] %C A141682 Row sums of triangle A155161. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2009] %F A141682 a(n)=Sum[Fibonacci[k]*a(n - k), {k, 1, n}]. %F A141682 G.f.: x*(1-x-x^2)/(1-2x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 13 2009] %t A141682 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}] %Y A141682 Cf. A000045, A001906. %Y A141682 Sequence in context: A130009 A048624 A000129 this_sequence A077985 A054198 A054196 %Y A141682 Adjacent sequences: A141679 A141680 A141681 this_sequence A141683 A141684 A141685 %K A141682 nonn,uned,new %O A141682 1,3 %A A141682 Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 07 2008 Search completed in 0.001 seconds