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%I #9 Jul 24 2017 12:54:42
%S 1,9,11,91,92,8,2,81,93,7,3,71,94,6,4,61,95,5,51,96,41,97,31,98,21,99,
%T 12,82,83,72,84,62,85,52,86,42,87,32,88,22,89,13,73,74,63,75,53,76,43,
%U 77,33,78,23,79,14,64,65,54,66,44,67,34,68,24,69,15,55,56,45,57,35,58,25,59,16,46,47,36,48,26,49,17,37,38,27,39,18,28,29,19,111,911,912,811,913,711,914,611,915,511,916,411,917,311,918,211,919,112,812,813,712
%N Starting with a(1) = 1, a(n) = smallest nonnegative integer not yet in the sequence such that the last digit of a(n-1) plus the first digit of a(n) is equal to 10. The digit 0 is not allowed.
%C Unlike the sequences in A289283 - A289287, this sequence is infinite and does not seem to follow central polygonal numbers.
%t Module[{a = {1}, k, d = 10}, TimeConstrained[Do[k = 2; While[Or[MemberQ[a, k], MemberQ[IntegerDigits@ k, 0], # != d] &[Mod[a[[n - 1]], 10] + First@ IntegerDigits@ k], k++]; AppendTo[a, k], {n, 2, Infinity}], 2]; a] (* _Michael De Vlieger_, Jul 14 2017 *)
%Y Cf. A002061, A289283, A289284, A289285, A289286, A289287.
%K nonn,base
%O 1,2
%A _Enrique Navarrete_, Jul 01 2017
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