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A345358 Lexicographically earliest sequence of distinct nonnegative integers such that the product of two terms, not necessarily distinct, can be computed without carry in base 10.

%I A345358 #13 Jun 21 2021 03:05:03
%S A345358 0,1,2,3,10,11,12,13,20,21,22,30,100,101,102,103,110,111,112,113,120,
%T A345358 121,122,130,200,201,202,210,211,212,220,221,300,1000,1001,1002,1003,
%U A345358 1010,1011,1012,1013,1020,1021,1022,1030,1100,1101,1102,1103,1110,1111
%N A345358 Lexicographically earliest sequence of distinct nonnegative integers such that the product of two terms, not necessarily distinct, can be computed without carry in base 10.
%C A345358 All terms belong to A007090.
%C A345358 If m is a term, then 10*m is also a term (in particular, all powers of 10 appear in the sequence).
%H A345358 Rémy Sigrist, <a href="/A345358/b345358.txt">Table of n, a(n) for n = 1..10000</a>
%H A345358 Rémy Sigrist, <a href="/A345358/a345358.gp.txt">PARI program for A345358</a>
%F A345358 A007953(a(m) * a(n)) = A007953(a(m)) * A007953(a(n)).
%o A345358 (PARI) See Links section.
%Y A345358 Cf. A007090, A007953, A131577 (binary analog), A306465, A345359 (ternary analog).
%K A345358 nonn,base
%O A345358 1,3
%A A345358 _Rémy Sigrist_, Jun 16 2021