|
|
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.
|
|
2
|
|
|
459, 1566, 2259, 2355, 11558, 12445, 111567, 112356, 122245, 1113345, 1222225, 11111568, 11112357, 11112455, 11122335, 111122255, 1111111569, 1111112358, 11111111578, 11111112456, 111111112359, 111111112555, 111111113445
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
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
|
|
|
MATHEMATICA
|
FromDigits /@ DeleteDuplicates@ Map[Sort, IntegerDigits@ Select[Range[10^7], Times @@ # == 10 Total@ # &@ IntegerDigits@ # &]] (* Michael De Vlieger, Dec 09 2015 *)
|
|
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.
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|