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.

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

Offset

1,1

References

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.

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