A249335 Numbers n for which the digital sum contains the same distinct digits as the digital product but the digital sum is not equal to the digital product.

99, 1137, 1173, 1317, 1371, 1713, 1731, 3117, 3171, 3344, 3434, 3443, 3711, 4334, 4343, 4433, 7113, 7131, 7311, 11558, 11585, 11855, 15158, 15185, 15518, 15581, 15815, 15851, 18155, 18515, 18551, 22334, 22343, 22433, 23234, 23243, 23324, 23342, 23423, 23432

Offset

1,1

Comments

Numbers n such that A007953(n) contains the same distinct digits as A007954(n) but A007953(n) is not equal to A007954(n).

Complement of A034710 with respect to A249334.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..100 from Jaroslav Krizek)

Example

1137 is a member since 1+1+3+7 = 12 and 1*1*3*7 = 21.

Prog

(Magma) [n: n in [1..10^6] | (&*Intseq(n)) ne (&+Intseq(n)) and Set(Intseq(&*Intseq(n))) eq Set(Intseq(&+Intseq(n)))]

Crossrefs

Cf. A034710, A007953, A007954, A249334.

Sequence in context: A196645 A196600 A074786 * A338258 A201044 A196577

Adjacent sequences: A249332 A249333 A249334 * A249336 A249337 A249338

Keyword

nonn,base

Author

Jaroslav Krizek, Oct 25 2014

Status

approved