%I #15 Jun 14 2021 15:44:14

%S 36,4,378225,7056,14393520729,16,9,557904400,1322314049613223140496,

%T 36,613401598811409576100,321418490709904,837225,16,

%U 7535664872989640713426833504575377836025,36,16900,100,7112889

%N Least square base n doublet (written in base 10).

%C In Bridy et al. it is shown how to construct infinitely many examples for any given base n >= 2. - _Jeffrey Shallit_, Jun 14 2021

%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.

%D David Wells, "The Penguin Dictionary of Curious and Interesting Numbers", Revised Edition 1997, p. 189.

%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.

%H A. Ottens, <a href="https://web.archive.org/web/20041013050849/http://rec-puzzles.org:80/sol.pl/arithmetic/digits/squares/three.digits">The arithmetic-digits-squares-three.digits problem</a>

%Y Cf. A020339, A054214, A054215, A054216, A030465, A030466, A030467.

%K base,nonn

%O 2,1

%A _David W. Wilson_