

A130235


Partial sums of the 'lower' Fibonacci Inverse A130233.


13



0, 2, 5, 9, 13, 18, 23, 28, 34, 40, 46, 52, 58, 65, 72, 79, 86, 93, 100, 107, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194, 202, 210, 218, 227, 236, 245, 254, 263, 272, 281, 290, 299, 308, 317, 326, 335, 344, 353, 362, 371, 380, 389, 398, 407, 417, 427
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..56.


FORMULA

a(n) = Sum_{0<=k<=n} A130233(k) = (n+1)*A130233(n)  Fib(A130233(n)+2) + 1.
G.f.: 1/(1x)^2 * Sum_{k>=1} x^Fib(k). [corrected by Joerg Arndt, Apr 14 2020]


MATHEMATICA

nmax = 90; CoefficientList[Series[Sum[x^Fibonacci[k], {k, 1, 1 + Log[3/2 + Sqrt[5]*nmax]/Log[GoldenRatio]}]/(1x)^2, {x, 0, nmax}], x] (* Vaclav Kotesovec, Apr 14 2020 *)


CROSSREFS

Cf. A000045, A130233, A130234, A130236, A130238, A130240, A130243, A130246, A130244, A130246, A130248, A130251, A130257, A130261.
Sequence in context: A055025 A178805 A088907 * A267531 A219647 A129726
Adjacent sequences: A130232 A130233 A130234 * A130236 A130237 A130238


KEYWORD

nonn


AUTHOR

Hieronymus Fischer, May 17 2007


STATUS

approved



