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%I #22 Aug 19 2021 06:13:18
%S 264,373,375,2132,2223,2241,2243,2245,2263,2336,2352,2356,2372,2376,
%T 2427,2536,2664,2733,2843,2932,3257,3292,3324,3342,3435,3437,3457,
%U 3477,3945,4132,4154,4194,4225,4241,4249,4262,4265,4332,4352,4353
%N 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NarcissisticNumber.html">Narcissistic Number.</a>
%e From _R. J. Mathar_, Aug 18 2021: (Start)
%e 264 = 2^1 + 6^1 + 4^4 = 2^5 + 6^3 + 4^2.
%e 2536 = 2^3 + 5^3 + 3^7 + 6^3 = 2^7 + 5^1 + 3^7 + 6^3.
%e 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 Cf. A007532, A050241.
%K nonn,base
%O 1,1
%A _Eric W. Weisstein_
%E Edited by _Joerg Arndt_ and _M. F. Hasler_, Aug 11 2021
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