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 A133509 Numbers k such that m=1 is the only number for which the sum of digits of m^k equals m. 7
 0, 105, 164, 186, 194, 206, 216, 231, 254, 282, 285, 302, 314, 324, 374, 386, 402, 416, 456, 468, 491, 504, 521, 552, 588, 606, 610, 615, 629, 651, 656, 657, 696, 759, 794, 830, 842, 854, 870, 903, 906, 954, 956, 981, 998, 1029, 1064, 1079, 1082, 1109, 1112, 1131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Michael S. Branicky, Table of n, a(n) for n = 1..100 FORMULA If t is a term, A046000(t)=1, A046017(t)=0, A046019(t)=1, A046471(t)=0 and A061211(t)=1. - Mohammed Yaseen, Jun 29 2022 PROG (Python) def ok(n): d, lim = 1, 1 while lim < n*9*d: d, lim = d+1, lim*10 return not any(sum(map(int, str(k**n))) == k for k in range(2, lim+1)) for k in range(195): if ok(k): print(k, end=", ") # Michael S. Branicky, Jul 06 2022 CROSSREFS Cf. A046000, A046017, A046019, A046471, A061211, A152147. Sequence in context: A239589 A203614 A252069 * A013590 A216918 A278569 Adjacent sequences: A133506 A133507 A133508 * A133510 A133511 A133512 KEYWORD nonn,base AUTHOR Farideh Firoozbakht, Dec 04 2007 EXTENSIONS Description improved by T. D. Noe, Nov 26 2008 Extension by T. D. Noe, Nov 26 2008 Edited by Charles R Greathouse IV, Aug 02 2010 a(1) = 0 and a(46) and beyond from Michael S. Branicky, Jul 06 2022 STATUS approved

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)