A050241 Handsome numbers (A007532) representable in exactly two distinct ways (counting different powers of duplicated digits as distinct).

224, 226, 264, 332, 334, 375, 377, 445, 935, 994, 1323, 1676, 2062, 2132, 2133, 2139, 2205, 2240, 2241, 2246, 2247, 2248, 2249, 2353, 2356, 2373, 2376, 2394, 2407, 2423, 2445, 2449, 2464, 2532, 2536, 2572, 2577, 2623, 2626, 2627, 2628, 2757, 2773, 2792, 2793

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Examples

			From _Sean A. Irvine_, Aug 10 2021: (Start)
24 is not a term because 24 = 2^3 + 4^2 has only one representation.
224 is a term because 224 = 2^7 + 2^5 + 4^3 = 2^5 + 2^7 + 4^3.
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)
		

Links

• Eric Weisstein's World of Mathematics, Powerful Number.
• Index entries for sequences related to powerful numbers

Crossrefs

Cf. A007532, A050240.

Extensions

Name made more precise and missing terms inserted by Sean A. Irvine, Aug 10 2021

Name clarified by David J. Seal, Aug 18 2021