A124694 Sets of digits such that the product of the digits is 10 times the sum of the digits. Each set is arranged as a number with nondecreasing digits.

459, 1566, 2259, 2355, 11558, 12445, 111567, 112356, 122245, 1113345, 1222225, 11111568, 11112357, 11112455, 11122335, 111122255, 1111111569, 1111112358, 11111111578, 11111112456, 111111112359, 111111112555, 111111113445

Offset: 1

Author

Tanya Khovanova, Dec 25 2006

Keywords

• base
• nonn

Comments

4*5*9 = 180 and 4 + 5 + 9 = 18.

Each term must include the digit 5, so it is a subsequence of A011535. - Chai Wah Wu, Dec 08 2015

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..931

Crossrefs

A062043 (Numbers for which the product of the digits is 10 times their sum) is created by permuting digits in every number of this sequence.

Programs

Mathematica

FromDigits /@ DeleteDuplicates@ Map[Sort, IntegerDigits@ Select[Range[10^7], Times @@ # == 10 Total@ # &@ IntegerDigits@ # &]] (* Michael De Vlieger, Dec 09 2015 *)

Extensions

Extended by D. S. McNeil, Dec 16 2010