A050240 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.

264, 373, 375, 2132, 2223, 2241, 2243, 2245, 2263, 2336, 2352, 2356, 2372, 2376, 2427, 2536, 2664, 2733, 2843, 2932, 3257, 3292, 3324, 3342, 3435, 3437, 3457, 3477, 3945, 4132, 4154, 4194, 4225, 4241, 4249, 4262, 4265, 4332, 4352, 4353

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Eric Weisstein's World of Mathematics, Narcissistic Number.

Example

From R. J. Mathar, Aug 18 2021: (Start)
264 = 2^1 + 6^1 + 4^4 = 2^5 + 6^3 + 4^2.
2536 = 2^3 + 5^3 + 3^7 + 6^3 = 2^7 + 5^1 + 3^7 + 6^3.
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)

Crossrefs

Cf. A007532, A050241.

Sequence in context: A253701 A255804 A351802 * A105683 A160971 A235012

Adjacent sequences: A050237 A050238 A050239 * A050241 A050242 A050243

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

Edited by Joerg Arndt and M. F. Hasler, Aug 11 2021

Status

approved