A318275 - OEIS

A318275

Numbers with digits in nondecreasing order and with multiplicative digital root > 0.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 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, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 123, 124, 126, 127, 128, 129, 133, 134

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This sequence is a primitive sequence of A277061, it has digits in nondecreasing order. Terms in A277061 can be found by permuting digits of terms of this sequence.

LINKS

Table of n, a(n) for n=1..64.

MATHEMATICA

Select[Range@ 134, And[FixedPoint[Times @@ IntegerDigits@ # &, #] != 0, AllTrue[Differences@ IntegerDigits@ #, # >= 0 &]] &] (* Michael De Vlieger, Aug 25 2018 *)

CROSSREFS

Cf. A009994, A277061, A299690.

Sequence in context: A239215 A055571 A132781 * A173646 A274125 A070698

Adjacent sequences: A318272 A318273 A318274 * A318276 A318277 A318278

KEYWORD

nonn,base

AUTHOR

David A. Corneth, Aug 23 2018

STATUS

approved