A124360 Numbers n for which the sum of the digits of n^k and the sum of the digits of n^(k+1), for some k, is equal to n.

1, 9, 28, 36, 54, 90, 108, 135, 154, 181, 207, 225, 234, 307, 360, 388, 469, 523, 540, 685, 720

Offset: 0

Author

Paolo P. Lava and Giorgio Balzarotti, Oct 27 2006

Keywords

• nonn
• base

Examples

			18^6=34012224 (3+4+0+1+2+2+2+4=18) and 18^7=612220032 (6+1+2+2+2+0+0+3+2=18)
Again 36^4=1679616 (1+6+7+9+6+1+6=36) and 36^5=60466176 (6+0+4+6+6+1+7+6=36)
		

Crossrefs

Cf. A124359.