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

1,1

Links

Table of n, a(n) for n=1..45.

Eric Weisstein's World of Mathematics, Powerful Number.

Index entries for sequences related to powerful numbers

Example

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)

Crossrefs

Cf. A007532, A050240.

Sequence in context: A094491 A162604 A296896 * A345542 A345543 A345796

Adjacent sequences: A050238 A050239 A050240 * A050242 A050243 A050244

Keyword

nonn,base

Author

Eric W. Weisstein

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

Status

approved