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A290185 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. 4
8, 19, 23, 31, 80, 215, 293, 314, 362, 374, 440, 485, 1330, 1499, 4367, 9679, 9825, 11093, 16895, 16939, 20885, 34968, 53360, 57966, 60818, 63074, 64799, 73727, 88511, 88917, 93311, 151874, 168791, 180074, 199407, 395263, 395351, 478124, 600159, 614124, 649115, 847079, 1067999, 1078391, 1147806, 1391015 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..46.

Andrew Bridy, Robert J. Lemke Oliver, Arlo Shallit, and Jeffrey Shallit, The Generalized Nagell-Ljunggren Problem: Powers with Repetitive Representations, preprint arXiv:1707.03894 [math.NT], July 14 2017.

EXAMPLE

For example, for b = 8, we have y = 57, and the base-b representation of y^3 is 551551.

CROSSREFS

Cf. A290172, A290173, A290176, A290177.

Sequence in context: A293983 A227881 A294581 * A274397 A178130 A227029

Adjacent sequences:  A290182 A290183 A290184 * A290186 A290187 A290188

KEYWORD

nonn,base

AUTHOR

Jeffrey Shallit, Jul 23 2017

STATUS

approved

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Last modified April 5 13:02 EDT 2020. Contains 333241 sequences. (Running on oeis4.)