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Positions of A235141, the first differences of A234300, which equal 1.
3

%I #13 Feb 05 2014 17:15:33

%S 1,5,11,23,33,65,85,109,133,187,215,285,361,447,491,591,643,695,747,

%T 931,991,1193,1267,1343,1569,1739,2087,2181,2277,2471,2573,2669,2781,

%U 3327,3557,3681,3923,4299,4431,4561,4833,4969

%N Positions of A235141, the first differences of A234300, which equal 1.

%C The positions reflect square radii which are uniquely twice a square integer, that is, the inclusion of only one square on the y = x line.

%F a(n+1) = A235142(n) + 1 , a(1)=1.

%e for n=3, a(3) = 11. The eleventh term of A235141 is 1 reflecting an increase in the square radius of the circle from exactly 8 to the open interval of (8,9).

%Y A000548(n) = (A001481(1 + (a(n+1)-1)/2)/2.

%Y Cf. A235141, A234300.

%K nonn

%O 1,2

%A _Rajan Murthy_, Jan 08 2014