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A335497 a(1) = 1, and for any n > 0, a(n+1) is the number of times the decimal representation of a(n) appears in the concatenation of the first n terms, possibly with overlap. 1
1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 12, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 4, 3, 3, 4, 4, 5, 3, 5, 4, 6, 3, 6, 4, 7, 3, 7, 4, 8, 3, 8, 4, 9, 3, 9, 4, 10, 3, 10, 4, 11, 5, 5, 6, 5, 7, 5, 8, 5, 9, 5, 10, 5, 11, 6, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This sequence is a variant of A276457.

This sequence is unbounded.

LINKS

Table of n, a(n) for n=1..84.

Rémy Sigrist, Logarithmic scatterplot of the first 1000000 terms

Rémy Sigrist, Perl program for A335497

EXAMPLE

The first terms, alongside their concatenations with a star in front of each occurrence of a(n), are:

  n   a(n)  cat(a(1)...a(n))

  --  ----  ---------------------------------

   1     1  *1

   2     1  *1*1

   3     2  11*2

   4     1  *1*12*1

   5     3  1121*3

   6     1  *1*12*13*1

   7     4  112131*4

   8     1  *1*12*13*14*1

   9     5  11213141*5

  ...

  17     9  1121314151617181*9

  18     1  *1*12*13*14*15*16*17*18*19*1

  19    10  112131415161718191*10

  20     1  *1*12*13*14*15*16*17*18*19*1*10*1

  21    12  1*12131415161718191101*12

  22     2  11*21314151617181911011*2*2

PROG

(Perl) See Links section.

CROSSREFS

Cf. A179801, A276457.

Sequence in context: A133622 A158416 A318225 * A309872 A248034 A322182

Adjacent sequences:  A335494 A335495 A335496 * A335498 A335499 A335500

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Jun 14 2020

STATUS

approved

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Last modified September 27 15:29 EDT 2020. Contains 337383 sequences. (Running on oeis4.)