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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

%I #11 Nov 14 2018 12:25:14

%S 10,11,12,13,14,15,16,17,18,19,110,21,112,113,114,115,116,117,118,119,

%T 120,121,22,123,124,125,126,127,128,129,130,131,132,23,134,135,136,

%U 137,138,139,140,141,142,143,24,145,146,147,148,149,150,151,152,153,154

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

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

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

%H Rémy Sigrist, <a href="/A321485/b321485.txt">Table of n, a(n) for n = 0..10000</a>

%H Rémy Sigrist, <a href="/A321485/a321485.gp.txt">PARI program for A321485</a>

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

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

%e The following table shows some examples with the corresponding blocks:

%e n a(n) Blocks

%e -------- ------ ---------------

%e 0 10 (0)

%e 1 11 (1)

%e 12 112 (12)

%e 100 1100 (100)

%e 111 31 (1|1|1)

%e 22123 221123 (2|2)(123)

%e 112211 212221 (1|1)(2|2)(1|1)

%e 212212 2212 (212|212)

%e 11221122 21122 (1122|1122)

%o (PARI) See Links section.

%Y Cf. A045918, A090822.

%K nonn,base

%O 0,1

%A _Rémy Sigrist_, Nov 11 2018

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Last modified April 25 10:47 EDT 2024. Contains 371967 sequences. (Running on oeis4.)