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

0,2

Links

Table of n, a(n) for n=0..20.

Example

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.

Sequence in context: A024670 A141805 A256497 * A041152 A246750 A015245

Adjacent sequences: A124357 A124358 A124359 * A124361 A124362 A124363

Keyword

nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Oct 27 2006

Status

approved