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!)
A331084 The number of terms in the negaFibonacci representation of -n (A215023). 3
1, 2, 1, 2, 3, 2, 2, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 3, 2, 2, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 3, 4, 4, 3, 3, 2, 3, 3, 2, 2, 1, 2, 3, 2, 3, 4, 3, 3, 2, 3, 4, 3, 4, 5, 4, 4, 3, 4, 4, 3, 3, 2, 3, 4, 3, 4, 5, 4, 4, 3, 4, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Fibonacci numbers F(2*n - 1) are the indices of records of this sequence.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

FORMULA

a(A000045(2*n)) = 1.

a(A000045(2*n - 1)) = n.

EXAMPLE

The negaFibonacci representation of 2 is A215023(2) = 1001, thus a(2) = 1 + 0 + 0 + 1 = 2.

MATHEMATICA

ind[n_] := Floor[Log[Abs[n]*Sqrt[5] + 1/2]/Log[GoldenRatio]]; f[1] = 1; f[n_] := If[n > 0, i = ind[n - 1]; If[EvenQ[i], i++]; i, i = ind[-n]; If[OddQ[i], i++]; i]; nf[n_] := Module[{k = n, s = 0}, While[k != 0, i = f[k]; s += 1; k -= Fibonacci[-i]]; s]; a[n_] := nf[-n]; Array[a, 100]

CROSSREFS

Cf. A000045, A215023, A331083.

Cf. A000120, A007895, A007953, A053735, A095791.

Sequence in context: A123884 A178412 A182598 * A067694 A131810 A233519

Adjacent sequences:  A331081 A331082 A331083 * A331085 A331086 A331087

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, Jan 08 2020

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 June 5 09:58 EDT 2020. Contains 334840 sequences. (Running on oeis4.)