login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A130236 Partial sums of the 'upper' Fibonacci Inverse A130234. 12
0, 1, 4, 8, 13, 18, 24, 30, 36, 43, 50, 57, 64, 71, 79, 87, 95, 103, 111, 119, 127, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 262, 272, 282, 292, 302, 312, 322, 332, 342, 352, 362, 372, 382, 392, 402, 412, 422, 432, 442, 452, 462, 473 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

a(n) = sum{0<=k<=n, A130234(k)} = n*A130234(n)-Fibonacci(A130234(n)+1)+1.

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

MATHEMATICA

b[n_] := For[i = 0, True, i++, If[Fibonacci[i] >= n, Return[i]]];

b /@ Range[0, 56] // Accumulate (* Jean-Fran├žois Alcover, Apr 13 2020 *)

CROSSREFS

Cf. A000045, A130233, A130234, A130235, A130244, A130246, A130244, A130246, A130248, A130252, A130258, A130262.

Sequence in context: A312161 A312162 A312163 * A312164 A312165 A312166

Adjacent sequences:  A130233 A130234 A130235 * A130237 A130238 A130239

KEYWORD

nonn

AUTHOR

Hieronymus Fischer, May 17 2007

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 24 06:56 EDT 2021. Contains 346273 sequences. (Running on oeis4.)