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A239215
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The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d >= e > f, and S is always extended with the smallest integer not yet present in S.
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18
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1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 44, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 66, 67, 68, 69, 77, 78, 79, 88, 89, 99, 999, 9999, 99999, 999999, 9999999, 99999999
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OFFSET
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1,2
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COMMENTS
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Computed by Lars Blomberg.
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REFERENCES
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Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013
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LINKS
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Table of n, a(n) for n=1..60.
Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sr)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]
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MATHEMATICA
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a[1]=1; a[n_]:=a[n]=Block[{k=1}, While[MemberQ[s=Array[a, n-1], k]||Or@@(#>=#2>#3&@@@Partition[Flatten[IntegerDigits/@Join[Last@s, {k}]], 3, 1]), k++]; k]; Array[a, 56] (* Giorgos Kalogeropoulos, May 13 2022 *)
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CROSSREFS
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The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.
Sequence in context: A239016 A102827 A190221 * A055571 A132781 A318275
Adjacent sequences: A239212 A239213 A239214 * A239216 A239217 A239218
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KEYWORD
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nonn,base
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AUTHOR
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Michel Marcus, Mar 12 2014
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STATUS
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approved
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