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Search: id:A118569
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| A118569 |
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Lucky numbers with consecutive digits. |
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+0
1
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| 21, 43, 67, 87, 321, 4321, 4567, 6789, 78901, 432109, 9012345, 67890123
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Digits can be in ascending or descending order. After 9 comes 0.
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MATHEMATICA
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consecutiveQ[n_Integer] := Block[{id = IntegerDigits@n}, MemberQ[{{1}, {9}}, Union@Mod[Rest@id - Most@id, 10]]] (* Bobby R. Treat (drbob(at)bigfoot.com), May 10 2006 *)
lst = Range[1, 10^8, 2]; i = 2; While[ i <= (len = Length@lst) && (k = lst[[i]]) <= len, lst = Drop[lst, {k, len, k}]; i++ ]; Select[t, consecutiveQ@# &] (* Robert G. Wilson v *) - Robert G. Wilson v (rgwv(at)rgwv.com), May 11 2006
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CROSSREFS
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Cf. A000959.
Sequence in context: A041870 A041868 A135391 this_sequence A041874 A041872 A041876
Adjacent sequences: A118566 A118567 A118568 this_sequence A118570 A118571 A118572
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KEYWORD
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base,more,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), May 07 2006
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EXTENSIONS
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a(9)-a(12) from Robert G. Wilson v (rgwv(at)rgwv.com), May 11 2006
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