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A321485 Describe n from left to right in terms of blocks with the maximum number of repetitions (and then with the maximum size). 2
10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 110, 21, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 22, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 23, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 24, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This sequence is a variant of the "Look and Say" sequence A045918 with features from Gijswijt's sequence A090822.

Any digit appearing in n also appears in a(n).

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Rémy Sigrist, PARI program for A321485

FORMULA

a((10^k-1)/9 * d) = 10*k + d for any k > 0 and d = 1..9.

A055642(a(n)) <= 1 + A055642(n).

EXAMPLE

The following table shows some examples with the corresponding blocks:

  n         a(n)    Blocks

  --------  ------  ---------------

         0      10              (0)

         1      11              (1)

        12     112             (12)

       100    1100            (100)

       111      31          (1|1|1)

     22123  221123       (2|2)(123)

    112211  212221  (1|1)(2|2)(1|1)

    212212    2212        (212|212)

  11221122   21122      (1122|1122)

PROG

(PARI) See Links section.

CROSSREFS

Cf. A045918, A090822.

Sequence in context: A262390 A102236 A250040 * A047842 A047843 A097598

Adjacent sequences:  A321482 A321483 A321484 * A321486 A321487 A321488

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Nov 11 2018

STATUS

approved

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Last modified August 11 09:30 EDT 2020. Contains 336423 sequences. (Running on oeis4.)