Search: id:A045925
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%I A045925
%S A045925 0,1,2,6,12,25,48,91,168,306,550,979,1728,3029,5278,9150,15792,27149,
%T A045925 46512,79439,135300,229866,389642,659111,1112832,1875625,3156218,
%U A045925 5303286,8898708,14912641,24961200,41734339,69705888,116311074
%N A045925 n*Fibonacci(n).
%C A045925 Number of levels in all compositions of n+1 with only 1's and 2's.
%H A045925 S. Heubach and T. Mansour, <a href="http://arXiv.org/abs/math.CO/0310197">
               Counting rises, levels and drops in compositions</a>
%F A045925 G.f.: x*(1+x^2)/(1-x-x^2)^2.
%p A045925 a:=n->sum(fibonacci(n), j=1..n): seq(a(n), n=0..33); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Apr 25 2007
%t A045925 Table[Sum[Fibonacci[n + 1], {i, 0, n}], {n, -1, 32}] [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]
%t A045925 Table[Fibonacci[n]*n, {n, 0, 33}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 09 2009]
%Y A045925 Partial sums: A014286. Cf. A000045.
%Y A045925 Sequence in context: A163895 A034882 A137829 this_sequence A128020 A116562 
               A140659
%Y A045925 Adjacent sequences: A045922 A045923 A045924 this_sequence A045926 A045927 
               A045928
%K A045925 nonn
%O A045925 0,3
%A A045925 Jeff Burch (gburch(AT)erols.com)

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