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A130262

Partial sums of the 'upper' even Fibonacci Inverse A130260.

0, 1, 3, 5, 8, 11, 14, 17, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 248, 254, 260, 266

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OFFSET

0,3

LINKS

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

FORMULA

a(n) = n*A130260(n) - A001519(A130260(n)) + 1.

a(n) = n*A130260(n) - Fib(2*A130260(n)-1) + 1.

G.f.: g(x)=x/(1-x)^2*Sum_{k>=0} x^Fib(2*k).

MATHEMATICA

Table[Sum[Ceiling[Log[GoldenRatio, Sqrt[5]*k]/2], {k, 1, n}], {n, 0, 60}] (* G. C. Greubel, Sep 12 2018 *)

PROG