

A289288


Starting with a(1) = 1, a(n) = smallest nonnegative integer not yet in the sequence such that the last digit of a(n1) plus the first digit of a(n) is equal to 10. The digit 0 is not allowed.


1



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, 12, 82, 83, 72, 84, 62, 85, 52, 86, 42, 87, 32, 88, 22, 89, 13, 73, 74, 63, 75, 53, 76, 43, 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
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OFFSET

1,2


COMMENTS

Unlike the sequences in A289283  A289287, this sequence is infinite and does not seem to follow central polygonal numbers.


LINKS

Table of n, a(n) for n=1..111.


MATHEMATICA

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 *)


CROSSREFS

Cf. A002061, A289283, A289284, A289285, A289286, A289287.
Sequence in context: A108687 A038301 A277998 * A137016 A053886 A137020
Adjacent sequences: A289285 A289286 A289287 * A289289 A289290 A289291


KEYWORD

nonn,base


AUTHOR

Enrique Navarrete, Jul 01 2017


STATUS

approved



