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%I #26 Aug 29 2021 23:42:35
%S 224,226,264,332,334,375,377,445,935,994,1323,1676,2062,2132,2133,
%T 2139,2205,2240,2241,2246,2247,2248,2249,2353,2356,2373,2376,2394,
%U 2407,2423,2445,2449,2464,2532,2536,2572,2577,2623,2626,2627,2628,2757,2773,2792,2793
%N Handsome numbers (A007532) representable in exactly two distinct ways (counting different powers of duplicated digits as distinct).
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PowerfulNumber.html">Powerful Number</a>.
%H <a href="/index/Pow#powerful">Index entries for sequences related to powerful numbers</a>
%e From _Sean A. Irvine_, Aug 10 2021: (Start)
%e 24 is not a term because 24 = 2^3 + 4^2 has only one representation.
%e 224 is a term because 224 = 2^7 + 2^5 + 4^3 = 2^5 + 2^7 + 4^3.
%e 333 is not a term because 333 = 3^5 + 3^4 + 3^2 = 3^5 + 3^2 + 3^4 = 3^4 + 3^5 + 3^2 = ... has more than 2 representations. (End)
%Y Cf. A007532, A050240.
%K nonn,base
%O 1,1
%A _Eric W. Weisstein_
%E Name made more precise and missing terms inserted by _Sean A. Irvine_, Aug 10 2021
%E Name clarified by _David J. Seal_, Aug 18 2021
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