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A087319
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Smallest number of the form n^k +1, with tau(a(n)) = tau(n), or 0 if no such number exists.
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1
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0, 2, 2, 0, 2, 217, 2, 65, 0, 10001, 2, 0, 2, 15, 226, 0, 2, 325, 2, 0, 22, 485, 2, 110075314177, 0, 27, 0, 0, 2, 27001, 2, 1025, 34, 35, 1226, 0, 2, 39, 1522, 64001, 2, 130691233, 2, 45, 0, 2117, 2, 0, 0, 0, 2602, 0, 2, 1338925209985, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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COMMENTS
| If n is a square then a(n) = 0; the other zeros (n = 12, 20, 27, 28, 45, 48, 50, 52 and 55) are conjectures. I have checked them for k up to 255. - David Wasserman (wasserma(AT)spawar.navy.mil), May 09 2005
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CROSSREFS
| Cf. A087318.
Sequence in context: A028305 A137349 A087318 * A101348 A141659 A123515
Adjacent sequences: A087316 A087317 A087318 * A087320 A087321 A087322
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 09 2005
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