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 A124359 Numbers n for which the sum of the digits of n^k, for some k, is equal to n. 10
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 17, 18, 20, 22, 25, 26, 27, 28, 31, 34, 35, 36, 40, 43, 45, 46, 53, 54, 58, 63, 64, 68, 71, 80, 81, 82, 85, 86, 90, 91, 94, 97, 98, 103, 104, 106, 107, 108, 117, 118, 126, 127, 133, 134, 135, 136, 140, 142, 143, 146, 152, 154, 155, 157, 160, 163, 169, 170 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Most of the values are conjectural. So far not much is proved about the function A247889. - M. F. Hasler and Robert Israel, May 18 2017 LINKS Hans Havermann, Table of n, a(n) for n = 1..3600 Hans Havermann, Solutions (k) for the terms (n <= 20034) of this sequence EXAMPLE 18^3 = 5832 and 5 + 8 + 3 + 2 = 18 (also 18^6 = 34012224 and 18^7 = 612220032). Again 46^5 = 205962976 and 2 + 0 + 5 + 9 + 6 + 2 + 9 + 7 + 6 = 46. PROG (PARI) for(n=0, 199, if(A247889(n), print1(n, ", "))) \\ Derek Orr, Sep 25 2014 (PARI) select(A247889, [0..170]) \\ M. F. Hasler, May 18 2017 CROSSREFS Complement of A124367. Numbers for which A247889 is nonzero. Sequence in context: A108971 A179977 A326298 * A124366 A289868 A304247 Adjacent sequences:  A124356 A124357 A124358 * A124360 A124361 A124362 KEYWORD nonn,base AUTHOR Paolo P. Lava and Giorgio Balzarotti, Oct 27 2006 EXTENSIONS Prepended a(1) = 0, offset corrected and more terms added by Derek Orr, Sep 25 2014 Edited by M. F. Hasler, May 18 2017 STATUS approved

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Last modified October 14 18:28 EDT 2019. Contains 328022 sequences. (Running on oeis4.)