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A124809
Numbers of the form (square + 1) that are not squarefree.
8
50, 325, 1025, 1445, 1682, 1850, 3250, 4625, 4901, 6725, 8650, 9802, 11450, 13690, 13925, 17425, 20450, 24650, 28225, 33125, 37250, 42850, 47525, 53825, 57122, 59050, 63002, 66050, 71825, 79525, 85850, 94250, 101125, 106930, 110225, 117650
OFFSET
1,1
COMMENTS
The sequence is infinite (see comment in A049532). - Emmanuel Vantieghem, Oct 25 2016
LINKS
FORMULA
a(n) = A049532(n)^2 + 1.
MATHEMATICA
Select[Range[400]^2+1, !SquareFreeQ[#]&] (* Harvey P. Dale, Sep 15 2016 *)
PROG
(Magma) [n^2+1: n in [1..500]| not IsSquarefree(n^2+1)]; // Vincenzo Librandi, Oct 26 2016
(PARI) is(n)=issquare(n-1) && !issquarefree(n) \\ Charles R Greathouse IV, Nov 05 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Nov 08 2006
STATUS
approved