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A357717 Number of ways to write n as an ordered sum of nine positive Fibonacci numbers (with a single type of 1). 3

%I #6 Oct 10 2022 16:11:15

%S 1,9,45,156,423,954,1878,3321,5409,8251,11979,16686,22446,29250,37134,

%T 46107,56259,67671,80407,94338,109269,125118,141930,159723,178608,

%U 198522,219510,241338,264438,288810,314550,341010,367785,394596,421443,448650,476614,505404,534978

%N Number of ways to write n as an ordered sum of nine positive Fibonacci numbers (with a single type of 1).

%F G.f.: ( Sum_{k>=2} x^Fibonacci(k) )^9.

%F a(n) = A121548(n,9).

%t nmax = 47; CoefficientList[Series[Sum[x^Fibonacci[k], {k, 2, 21}]^9, {x, 0, nmax}], x] // Drop[#, 9] &

%Y Cf. A000045, A076739, A121548, A121549, A121550, A319402, A357688, A357690, A357691, A357694, A357716.

%K nonn

%O 9,2

%A _Ilya Gutkovskiy_, Oct 10 2022

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Last modified May 12 06:47 EDT 2024. Contains 372432 sequences. (Running on oeis4.)