A321485 Describe n from left to right in terms of blocks with the maximum number of repetitions (and then with the maximum size).

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

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