A161752 Numbers equal to the sum of a power of their digits where that power is not equal to the length of the number (i.e., A023052 excluding A005188).

4150, 4151, 194979, 14459929, 564240140138, 233411150132317, 114735624485461118832514, 832662335985815242605070, 832662335985815242605071, 7584178683470015004720746

Offset: 1

Author

Hans Havermann, Jun 18 2009

Keywords

• base
• nonn

Examples

			4150 = 4^5 + 1^5 + 5^5 + 0^5 and the exponent 5 is not equal to the length of the number (4).
		

Links

• Joseph Myers, Table of n, a(n) for n=1..166
• Shyam Sunder Gupta, Digital Invariants and Narcissistic Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 21, 513-526.
• Harvey Heinz, Perfect Digital Invariants

Crossrefs

Cf. A005188, A023052.