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A289284
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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 6. The digit 0 is not allowed.
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4
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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
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1,2
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COMMENTS
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The number of terms of this finite sequence is the sixth central polygonal number, n = 31.
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LINKS
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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STATUS
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approved
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