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 A049532 Numbers k such that k^2 + 1 is not squarefree. 26
 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; text; internal format)
 OFFSET 1,1 COMMENTS A059592(a(n)) > 1; A124809(n) = a(n)^2 + 1. - Reinhard Zumkeller, Nov 08 2006 The sequence is infinite. For instance, it contains all numbers of the form 7 + 25m. - Emmanuel Vantieghem, Oct 25 2016 More generally, the sequence contains all numbers of the form a(n) + (a(n)^2 + 1) * m for even a(n) and a(n) + (a(n)^2 + 1) * m / 2 for odd a(n). - David A. Corneth, Oct 25 2016 LINKS R. J. Mathar, Table of n, a(n) for n = 1..7999 EXAMPLE a(1) = 7 because 7^2 + 1 = 49 + 1 = 50 is divisible by 25, a square. MATHEMATICA n=1; Reap[Do[While[SquareFreeQ[n^2+1], n++]; Sow[n]; n++, {c, 10000}]][[2, 1]] (* Zak Seidov, Feb 24 2011 *) PROG (PARI) for(n=1, 1e4, if(!issquarefree(n^2+1), print1(n", "))) \\ Charles R Greathouse IV, Feb 24 2011 (MAGMA) [n: n in [1..6*10^2]| not IsSquarefree(n^2+1)]; // Bruno Berselli, Oct 15 2012 CROSSREFS Cf. A002522, A059592, A124809. Sequence in context: A061876 A103571 A103572 * A156619 A033537 A225286 Adjacent sequences:  A049529 A049530 A049531 * A049533 A049534 A049535 KEYWORD nonn AUTHOR EXTENSIONS Definition rewritten by Bruno Berselli, Oct 15 2012 Mathematica updated by Jean-François Alcover, Jun 19 2013 STATUS approved

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Last modified November 20 14:54 EST 2019. Contains 329337 sequences. (Running on oeis4.)