cp's OEIS Frontend

A367635 Variation of the "Comma sequence" A121805: allow one or more digits from both a(n-1) and a(n) to form the magnitude of the difference |a(n) - a(n-1)|, always choosing the minimum possible distinct value for a(n).

%I A367635 #15 Nov 26 2023 08:40:09
%S A367635 1,12,35,94,135,78,159,63,30,15,72,48,129,36,399,306,244,202,181,170,
%T A367635 85,32,6,73,104,59,150,75,23,58,139,45,499,405,352,76,8,97,25,83,49,
%U A367635 140,70,64,22,46,107,34,82,57,128,44,2,24,71,56,117,43,81,65,14,60,55,106,42,20,10,5,61,47
%N A367635 Variation of the "Comma sequence" A121805: allow one or more digits from both a(n-1) and a(n) to form the magnitude of the difference |a(n) - a(n-1)|, always choosing the minimum possible distinct value for a(n).
%C A367635 The sequence is finite; after 206 terms 9 is reached which only has one possible following term 100, but 100 has already appeared. The largest difference between terms is 910, from a(151) = 99 to a(152) = 1009, the later being the largest term of the sequence.
%H A367635 Scott R. Shannon, <a href="/A367635/b367635.txt">Table of n, a(n) for n = 1..206</a>
%e A367635 a(6) = 78 as a(5) = 135, and |78 - 135| = 57 which can be formed from one digit of 135 and one digit of 78.
%e A367635 a(15) = 399 as a(14) = 36, and |399 - 36| = 363 which can be formed from two digits of 36 and one digit of 399. This is the first term whose difference with the previous term uses more than two digits.
%Y A367635 Cf. A121805, A367363, A367645.
%K A367635 nonn,base,fini,full
%O A367635 1,2
%A A367635 _Scott R. Shannon_, Nov 25 2023