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A130237 The 'lower' Fibonacci Inverse A130233(n) multiplied by n. 8
0, 2, 6, 12, 16, 25, 30, 35, 48, 54, 60, 66, 72, 91, 98, 105, 112, 119, 126, 133, 140, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477, 486, 550 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..55.

FORMULA

a(n) = n*max(k | Fib(k)<=n)=n*A130233(n)=n*floor(arcsinh(sqrt(5)*n/2)/log(phi)).

G.f.: g(x)=1/(1-x)*sum{k>=1, (Fib(k)+x/(1-x))*x^Fib(k)}.

CROSSREFS

Partial sums: A130238. Other related sequences: A000045, A130233, A130234, A130235, A130236, A130238, A130239, A130240, A130243, A130246, A130248, A130239, A130251, A130253, A130257, A130261.

Sequence in context: A191331 A088915 A084790 * A053457 A299112 A154030

Adjacent sequences:  A130234 A130235 A130236 * A130238 A130239 A130240

KEYWORD

nonn

AUTHOR

Hieronymus Fischer, May 17 2007

STATUS

approved

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Last modified July 24 01:41 EDT 2021. Contains 346269 sequences. (Running on oeis4.)