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A345672 a(n) is the least m such that the decimal expansion of n appears in the concatenation of m, ..., m+k for some k >= 0 and Sum_{i = m..m+k-1} A055642(i) < A055642(n) <= Sum_{i = m..m+k} A055642(i). 2

%I #5 Jun 24 2021 13:43:06

%S 0,1,2,3,4,5,6,7,8,9,10,11,1,13,14,15,16,17,18,19,20,12,22,2,24,25,26,

%T 27,28,29,30,13,23,33,3,35,36,37,38,39,40,14,24,34,44,4,46,47,48,49,

%U 50,15,25,35,45,55,5,57,58,59,60,16,26,36,46,56,66,6,68

%N a(n) is the least m such that the decimal expansion of n appears in the concatenation of m, ..., m+k for some k >= 0 and Sum_{i = m..m+k-1} A055642(i) < A055642(n) <= Sum_{i = m..m+k} A055642(i).

%C This sequence is similar to A055642; here we consider decimal expansions, there binary expansions.

%H Rémy Sigrist, <a href="/A345672/a345672.gp.txt">PARI program for A345672</a>

%F a(n) <= n.

%F a(n) = 1 iff n belongs to A252043.

%e For n = 21:

%e - the decimal expansion of 21 first appears in the concatenation of 12 and 13,

%e - so a(21) = 12.

%o (PARI) See Links section.

%Y Cf. A007376, A055642, A083653 (binary analog), A252043.

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Jun 22 2021

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Last modified May 23 18:59 EDT 2024. Contains 372765 sequences. (Running on oeis4.)