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A130261

Partial sums of the 'lower' even Fibonacci Inverse A130259.

0, 1, 2, 4, 6, 8, 10, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 192, 197, 202, 207, 212, 217

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OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

FORMULA

a(n) = (n+1)*A130259(n) - A001519(A130259(n)+1) + 1.

a(n) = (n+1)*A130259(n) - Fib(2*A130259(n)+1) + 1.

G.f.: g(x) = 1/(1-x)^2*Sum_{k>=1} x^Fib(2*k).

MATHEMATICA

Table[Sum[Floor[1/2*Log[GoldenRatio, (Sqrt[5]*k + 1)]], {k, 0, n}], {n, 0, 50}] (* G. C. Greubel, Sep 12 2018 *)

PROG