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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

%I #16 Dec 09 2015 16:59:58

%S 459,1566,2259,2355,11558,12445,111567,112356,122245,1113345,1222225,

%T 11111568,11112357,11112455,11122335,111122255,1111111569,1111112358,

%U 11111111578,11111112456,111111112359,111111112555,111111113445

%N 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.

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

%C Each term must include the digit 5, so it is a subsequence of A011535. - _Chai Wah Wu_, Dec 08 2015

%H Chai Wah Wu, <a href="/A124694/b124694.txt">Table of n, a(n) for n = 1..931</a>

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

%Y 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.

%K base,nonn

%O 1,1

%A _Tanya Khovanova_, Dec 25 2006

%E Extended by _D. S. McNeil_, Dec 16 2010

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)