A050240 - OEIS

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

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

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