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A210342 Row sums of triangle A210341.

%I A210342 #17 Mar 16 2023 12:23:06
%S A210342 1,2,4,9,24,78,317,1636,10752,89871,955536,12930172,222618065,
%T A210342 4874855542,135781292308,4811103270053,216847500834512,
%U A210342 12432143862756778,906625645142897789,84102571511631809864,9923979699312024569440,1489546408205976627946331
%N A210342 Row sums of triangle A210341.
%H A210342 Vincenzo Librandi, <a href="/A210342/b210342.txt">Table of n, a(n) for n = 0..100</a>
%F A210342 G.f.: Sum_{k>=0} x^k/(1-Fibonacci(k+2)*x).
%F A210342 a(n) = [x^n] Sum_{k=0..n} x^k/(1-Fibonacci(k+2)*x).
%F A210342 a(n) = A135961(n+2)-1. - _Vaclav Kotesovec_, Jan 05 2013
%t A210342 Table[Sum[Fibonacci[n - k + 2]^k, {k, 0, n}], {n, 0, 100}]
%o A210342 (Maxima) makelist(sum(fib(n-k+2)^k,k,0,n),n,0,12);
%o A210342 (Magma) [&+[Fibonacci(n-k+2)^k: k in [0..n]]: n in [0..21]]; // _Bruno Berselli_, Mar 28 2012
%Y A210342 Cf. A210341.
%K A210342 nonn,easy
%O A210342 0,2
%A A210342 _Emanuele Munarini_, Mar 20 2012