|
%I #17 Jun 14 2021 11:53:55
%S 8,19,23,31,80,215,293,314,362,374,440,485,1330,1499,4367,9679,9825,
%T 11093,16895,16939,20885,34968,53360,57966,60818,63074,64799,73727,
%U 88511,88917,93311,151874,168791,180074,199407,395263,395351,478124,600159,614124,649115,847079,1067999,1078391,1147806,1391015
%N Bases b for which there exists an integer y such that y^3 in base b looks like [c,d,e,c,d,e] for base-b digits c,d,e.
%D Andrew Bridy, Robert J. Lemke Oliver, Arlo Shallit, and Jeffrey Shallit, The Generalized Nagell-Ljunggren Problem: Powers with Repetitive Representations, Experimental Math, 28 (2019), 428-439.
%H Andrew Bridy, Robert J. Lemke Oliver, Arlo Shallit, and Jeffrey Shallit, <a href="https://arxiv.org/abs/1707.03894">The Generalized Nagell-Ljunggren Problem: Powers with Repetitive Representations</a>, preprint arXiv:1707.03894 [math.NT], July 14 2017.
%e For example, for b = 8, we have y = 57, and the base-b representation of y^3 is 551551.
%Y Cf. A290172, A290173, A290176, A290177.
%K nonn,base
%O 1,1
%A _Jeffrey Shallit_, Jul 23 2017
|
