A050241 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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)