

A289284


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 6. The digit 0 is not allowed.


4



1, 5, 11, 51, 52, 4, 2, 41, 53, 3, 31, 54, 21, 55, 12, 42, 43, 32, 44, 22, 45, 13, 33, 34, 23, 35, 14, 24, 25, 15, 16
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OFFSET

1,2


COMMENTS

The number of terms of this finite sequence is the sixth central polygonal number, n = 31.


LINKS

Table of n, a(n) for n=1..31.


MATHEMATICA

Module[{a = {1}, k, d = 6}, 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, 100}], 2]; a] (* Michael De Vlieger, Jul 14 2017 *)


CROSSREFS

Cf. A002061, A289283.
Sequence in context: A149520 A073415 A176832 * A149521 A149522 A149523
Adjacent sequences: A289281 A289282 A289283 * A289285 A289286 A289287


KEYWORD

nonn,base,fini,full


AUTHOR

Enrique Navarrete, Jul 01 2017


STATUS

approved



