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

Author

Jaroslav Krizek, Oct 25 2014

Keywords

• nonn
• base

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.

Examples

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

Links

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

Crossrefs

Cf. A034710, A007953, A007954, A249334.

Programs

Magma

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