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A290185
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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.
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4
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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
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OFFSET
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1,1
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REFERENCES
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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.
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LINKS
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EXAMPLE
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For example, for b = 8, we have y = 57, and the base-b representation of y^3 is 551551.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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