Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #13 Apr 11 2022 22:18:31
%S 1,9,81,2,8,12,68,32,168,432,368,3,17,83,517,283,117,183,18,13,47,33,
%T 4,6,64,16,14,36,65,5,15,66,234,766,235,465,535,265,35,67,19,82,218,
%U 182,518,2482,519,3481,2519,3482,520,480,120,7,34,266,334,267,233,268,732,4268,1732,4269,15731,14269
%N Lexicographically earliest sequence of distinct positive integers such that the first digit of a(n) + a(n+1) is the n-th digit of the sequence.
%e a(1) + a(2) = 1 + 9 = 10 and the initial 1 of 10 is the 1st digit of the sequence;
%e a(2) + a(3) = 9 + 81 = 90 and the initial 9 of 90 is the 2nd digit of the sequence;
%e a(3) + a(4) = 81 + 2 = 83 and the initial 8 of 83 is the 3rd digit of the sequence;
%e a(4) + a(5) = 2 + 8 = 10 and the initial 1 of 10 is the 4th digit of the sequence;
%e a(5) + a(6) = 8 + 12 = 20 and the initial 2 of 20 is the 5th digit of the sequence; etc.
%Y Cf. A352387.
%K base,nonn
%O 1,2
%A _Eric Angelini_ and _Carole Dubois_, Mar 14 2022