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A049533
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Numbers n such that n^2+1 is squarefree.
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2
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1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A059592(n) = 1; cf. A069987. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 08 2006
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EXAMPLE
| 10 is a member because 10^2+1=100+1=101 is squarefree.
Reasons why certain numbers are excluded: 7^2+1 = 2*5^2, 18^2+1 = 13*5^2, 32^2+1 = 41*5^2, 38^2+1 = 5*17^2, 41^2+1 = 2*29^2, 43^2+1 = 74*5^2, 57^2+1 = 130*5^2, 82^2+1 = 269*5^2. - Neven Juric, Oct 06 2008
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PROG
| (MAGMA) [ n: n in [1..100] | IsSquarefree(n^2+1) ]; [From Vincenzo Librandi, Dec 25 2010]
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CROSSREFS
| Sequence in context: A129618 A038673 A183219 * A052419 A179439 A047421
Adjacent sequences: A049530 A049531 A049532 * A049534 A049535 A049536
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu)
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