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A001729 List of numbers whose digits contain no loops (version 1). 3
1, 2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 17, 21, 22, 23, 24, 25, 27, 31, 32, 33, 34, 35, 37, 41, 42, 43, 44, 45, 47, 51, 52, 53, 54, 55, 57, 71, 72, 73, 74, 75, 77, 111, 112, 113, 114, 115, 117, 121, 122, 123, 124, 125, 127, 131, 132, 133, 134, 135, 137, 141, 142 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The digits 0, 6, 8 and 9 contain loops, but 1, 2, 3, 4 (written in "open" style), 5 and 7 do not.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

Index entries for 10-automatic sequences.

MATHEMATICA

Select[Range[150], Intersection[{0, 6, 8, 9}, Union[IntegerDigits[#]]] == {} &] (* T. D. Noe, Aug 10 2012 *)

FromDigits/@Flatten[Table[Tuples[{1, 2, 3, 4, 5, 7}, n], {n, 3}], 1] (* Harvey P. Dale, Feb 01 2017 *)

CROSSREFS

Cf. A001742 (version 2).

Sequence in context: A057496 A191864 A180348 * A001087 A191876 A234719

Adjacent sequences:  A001726 A001727 A001728 * A001730 A001731 A001732

KEYWORD

base,nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Missing 42 and 44 added by T. D. Noe, Aug 10 2012

STATUS

approved

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Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)