

A318276


Numbers with digits in nondecreasing order without digit 1 whose multiplicative digital root is not 0.


1



2, 3, 4, 5, 6, 7, 8, 9, 22, 23, 24, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 44, 46, 47, 48, 49, 57, 66, 67, 68, 77, 79, 88, 89, 99, 222, 223, 224, 226, 227, 228, 229, 233, 234, 236, 237, 238, 244, 246, 248, 249, 266, 267, 277, 278, 279, 288, 289, 299, 333, 334
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OFFSET

1,1


COMMENTS

This sequence is a primitive sequence of A299690 because terms of that sequence can be found using this; permuting digits of terms of this sequence gives terms in A299690.
This sequence is also a primitive sequence to A318275 as prepending 0 or more ones to terms in this sequence gives terms in A318275.
This sequence is finite because it's a subsequence of the finite sequence A299690.


LINKS



MATHEMATICA

Select[Range[333], And[FreeQ[IntegerDigits@ #, 1], FixedPoint[Times @@ IntegerDigits@ # &, #] != 0, AllTrue[Differences@ IntegerDigits@ #, # >= 0 &]] &] (* Michael De Vlieger, Aug 25 2018 *)


PROG

uptoQdigits(n) = {my(res = List()); for(i = 1, n, forvec(x = vector(i, j, [2, 9]), c = mdr(x); if(c != 0, listput(res, fromdigits(x))), 1)); res} \\ David A. Corneth, Dec 31 2018


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



