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A049532 a(n)^2+1 is not squarefree. 4
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)
OFFSET

1,1

COMMENTS

A059592(a(n) > 1; A124809(n) = a(n)^2 + 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 08 2006

LINKS

Zak Seidov, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1)=7 and 7^2+1=49+1=50 is divided by 25, a square.

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 *)

PROG

(PARI) for(n=1, 1e4, if(!issquarefree(n^2+1), print1(n", "))) \\ Charles R Greathouse IV, Feb 24, 2011

CROSSREFS

Cf. A002522.

Sequence in context: A061876 A103571 A103572 * A156619 A033537 A000566

Adjacent sequences:  A049529 A049530 A049531 * A049533 A049534 A049535

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.