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A286343 For n>0, let b(n) = greatest index of n in any Fibonacci-like sequence containing n. This sequence is the ordinal transform of b. 2
1, 1, 1, 2, 1, 2, 3, 1, 3, 2, 4, 5, 1, 6, 3, 2, 7, 4, 8, 5, 1, 9, 6, 3, 7, 2, 10, 8, 4, 9, 10, 5, 11, 1, 12, 13, 6, 14, 3, 7, 15, 2, 16, 17, 8, 18, 4, 9, 19, 10, 20, 5, 11, 21, 1, 12, 22, 13, 23, 6, 14, 24, 3, 15, 7, 16, 25, 2, 17, 26, 18, 19, 8, 20, 27, 4, 21 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A Fibonacci-like sequence f satisfies f(n+2) = f(n+1) + f(n), and is uniquely identified by its two initial terms f(0) and f(1).

For any n>0, b(n) >= 2 (as n appears at index 2 in the Fibonacci-like sequence with initial terms n and 0).

Conjecturally, for any n>1, b(n) = A199088(n).

a(A000045(n)) = 1 for any n>0.

The ordinal transform mentioned is the one described in A002260: the ordinal transform of a sequence b(n) is the sequence t(n) = number of values in b(1),...,b(n) which are equal to b(n).

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, C program for A286343

CROSSREFS

Cf. A000045, A199088.

Sequence in context: A249783 A209278 A326921 * A075106 A196935 A226314

Adjacent sequences:  A286340 A286341 A286342 * A286344 A286345 A286346

KEYWORD

nonn,look

AUTHOR

Rémy Sigrist, May 07 2017

STATUS

approved

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Last modified April 6 20:39 EDT 2020. Contains 333286 sequences. (Running on oeis4.)