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%I #10 Sep 19 2012 16:40:06
%S 0,2,4,3,2,10,12,2,8,18,2,11,4,2,28,5,2,3,36,2,20,14,2,23,3,2,52,4,2,
%T 58,60,2,4,66,2,35,9,2,3,39,2,82,4,2,11,3,2,4,48,2,100,51,2,106,36,2,
%U 28,4,2,3,10,2,4,7,2,130,3,2,68,138,2,10,4,2,148
%N Degree of the smallest irreducible polynomial factor for the polynomial (x^(2n+1)+1)/(x+1) over GF(2).
%t Join[{0}, Table[Exponent[FactorList[Sum[x^i, {i, 0, 2*n}], Modulus -> 2][[2, 1]], x], {n, 100}]] (* _T. D. Noe_, Sep 19 2012 *)
%o (PARI) vector(100,p,factormod((x^(2*p+1)+1)/(x+1),2,1)[1,1])
%Y Cf. A002326, A001122.
%K nonn
%O 0,2
%A _V. Raman_, Sep 17 2012
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