cp's OEIS Frontend

A050240 Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.

%I A050240 #23 Feb 16 2025 08:32:40
%S A050240 264,373,375,2132,2223,2241,2243,2245,2263,2336,2352,2356,2372,2376,
%T A050240 2427,2536,2664,2733,2843,2932,3257,3292,3324,3342,3435,3437,3457,
%U A050240 3477,3945,4132,4154,4194,4225,4241,4249,4262,4265,4332,4352,4353
%N A050240 Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.
%H A050240 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/NarcissisticNumber.html">Narcissistic Number.</a>
%e A050240 From _R. J. Mathar_, Aug 18 2021: (Start)
%e A050240 264 = 2^1 + 6^1 + 4^4 = 2^5 + 6^3 + 4^2.
%e A050240 2536 = 2^3 + 5^3 + 3^7 + 6^3 = 2^7 + 5^1 + 3^7 + 6^3.
%e A050240 4262 = 4^6 + 2^1 + 6^2 + 2^7 = 4^6 + 2^5 + 6^1 + 2^7 (not regarded distinct = 4^6 + 2^7 + 6^1 + 2^5 = 4^6 + 2^7 + 6^2 + 2^1). (End)
%Y A050240 Cf. A007532, A050241.
%K A050240 nonn,base
%O A050240 1,1
%A A050240 _Eric W. Weisstein_
%E A050240 Edited by _Joerg Arndt_ and _M. F. Hasler_, Aug 11 2021