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A210342
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Row sums of triangle A210341.
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3
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1, 2, 4, 9, 24, 78, 317, 1636, 10752, 89871, 955536, 12930172, 222618065, 4874855542, 135781292308, 4811103270053, 216847500834512, 12432143862756778, 906625645142897789, 84102571511631809864, 9923979699312024569440, 1489546408205976627946331
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: Sum_{k>=0} x^k/(1-Fibonacci(k+2)*x).
a(n) = [x^n] Sum_{k=0..n} x^k/(1-Fibonacci(k+2)*x).
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MATHEMATICA
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Table[Sum[Fibonacci[n - k + 2]^k, {k, 0, n}], {n, 0, 100}]
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PROG
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(Maxima) makelist(sum(fib(n-k+2)^k, k, 0, n), n, 0, 12);
(Magma) [&+[Fibonacci(n-k+2)^k: k in [0..n]]: n in [0..21]]; // Bruno Berselli, Mar 28 2012
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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