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A049532
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a(n)^2+1 is not squarefree.
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4
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7, 18, 32, 38, 41, 43, 57, 68, 70, 82, 93, 99, 107, 117, 118, 132, 143, 157, 168, 182, 193, 207, 218, 232, 239, 243, 251, 257, 268, 282, 293, 307, 318, 327, 332, 343, 357, 368, 378, 382, 393, 407, 408, 418, 432, 437, 443, 457, 468, 482, 493, 500, 507, 515
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| A059592(a(n) > 1; A124809(n) = a(n)^2 + 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 08 2006
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LINKS
| Zak Seidov, Table of n, a(n) for n = 1..10000
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EXAMPLE
| a(1)=7 and 7^2+1=49+1=50 is divided by 25, a square.
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MATHEMATICA
| <<NumberTheory`NumberTheoryFunctions`; n=1; Reap[Do[While[SquareFreeQ[n^2+1], n++]; Sow[n]; n++, {c, 10000}]][[2, 1]] (* Zak Seidov Feb 24 2011 *)
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PROG
| (PARI) for(n=1, 1e4, if(!issquarefree(n^2+1), print1(n", "))) \\ Charles R Greathouse IV, Feb 24, 2011
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CROSSREFS
| Cf. A002522.
Sequence in context: A061876 A103571 A103572 * A156619 A033537 A000566
Adjacent sequences: A049529 A049530 A049531 * A049533 A049534 A049535
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu)
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