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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. 5
1, 9, 28, 36, 54, 90, 108, 135, 154, 181, 207, 225, 234, 307, 360, 388, 469, 523, 540, 685, 720 (list; graph; refs; listen; history; text; internal format)
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 A015245 A031308

Adjacent sequences:  A124357 A124358 A124359 * A124361 A124362 A124363

KEYWORD

nonn,base

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Oct 27 2006

STATUS

approved

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Last modified October 16 17:49 EDT 2019. Contains 328102 sequences. (Running on oeis4.)