A097473 Slowest ever increasing sequence in which all successive digits are the digits of the Fibonacci sequence.

0, 11, 23, 58, 132, 134, 558, 914, 4233, 377610, 987159, 7258441, 81676510, 94617711, 286574636, 875025121, 3931964183, 17811514229, 83204013462, 692178309352, 4578570288792, 27465149303522, 41578173908816

Offset

0,2

Comments

May be considered as two sequences hidden in each other: the digits of Fibonacci are hidden in this sequence; the digits of this sequence are hidden in the Fibonacci. Same comment for A098080 and the counting numbers.

Links

Table of n, a(n) for n=0..22.

Formula

Write down the Fibonacci sequence and consider it as a unique succession of digits. Divide up into chunks of minimal length (and not beginning with 0) so that chunks are increasing numbers in order to form the slowest ever increasing sequences of slices (disregarding the number of digits) of the succession of the digits of the Fibonacci sequence.

Crossrefs

Cf. A000045, A098080.

Sequence in context: A097485 A098100 A105967 * A366487 A081510 A068844

Adjacent sequences: A097470 A097471 A097472 * A097474 A097475 A097476

Keyword

easy,base,nonn

Author

Alexandre Wajnberg, Sep 18 2004

Status

approved