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A117732 Numbers n such that n divides s(n)^w(n), where s(n) is the sum of the digits of n and w(n) the digital root of n. 0
1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 27, 48, 81, 192, 243, 288, 375, 392, 486, 512, 576, 648, 729, 864, 972, 1296, 1458, 1728, 1944, 2187, 2401, 2592, 2916, 3456, 4374, 4608, 4802, 4913, 5184, 5832, 6561, 6912, 10368, 11664, 13824, 15552, 17576, 19683, 20736, 23328 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..50.

EXAMPLE

392 is in the sequence because (1) s(392)=3+9+2=14 and w(392)=1+4=5, (2)14^5=537824 is divisible by 392.

PROG

(PARI) a010888(n) = (n-1)%9+1;

isok(n) = !(sumdigits(n)^a010888(n) % n); \\ Michel Marcus, Feb 27 2014

CROSSREFS

Cf. A007953, A010888.

Sequence in context: A133505 A068407 A334601 * A116960 A126957 A228187

Adjacent sequences:  A117729 A117730 A117731 * A117733 A117734 A117735

KEYWORD

base,nonn

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 14 2006

EXTENSIONS

Corrected by Michel Marcus, Feb 27 2014

STATUS

approved

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Last modified January 16 15:53 EST 2021. Contains 340206 sequences. (Running on oeis4.)