A249335 - OEIS

%I #9 Sep 08 2022 08:46:10

%S 99,1137,1173,1317,1371,1713,1731,3117,3171,3344,3434,3443,3711,4334,

%T 4343,4433,7113,7131,7311,11558,11585,11855,15158,15185,15518,15581,

%U 15815,15851,18155,18515,18551,22334,22343,22433,23234,23243,23324,23342,23423,23432

%N 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.

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

%C Complement of A034710 with respect to A249334.

%H Chai Wah Wu, <a href="/A249335/b249335.txt">Table of n, a(n) for n = 1..10000</a> (n = 1..100 from Jaroslav Krizek)

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

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

%Y Cf. A034710, A007953, A007954, A249334.

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Oct 25 2014