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%I #2 Mar 30 2012 18:40:52
%S 0,1,5,10,19,29,42,56,72,89,109,130,155,181,210,240,274,309,345,382,
%T 420,459,499,540,582,627,673,722,772,823,875,928,982,1037,1093,1150,
%U 1208,1267,1328,1390,1453,1517,1582,1648,1716,1785,1855,1926,1999,2073,2148
%N Partial sums of A003995.
%C Partial sums of sum of (any number of) distinct squares. The subsequence of primes in this partial sum begins: 5, 19, 29, 89, 109, 499, 673, 823, 1093, 1453, 1999, 2543, 2963.
%F a(n) = SUM[i=0..n] A003995(i) = SUM[i=0..n] (r^2 + s^2 + t^2+ ...) with 0<=r<s<t<....
%e a(13) = 0 + 1 + 4 + 5 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21 + 25 + 26 = 181 is prime.
%Y Cf. A001422, A001983, A003995, A008935, A033461.
%K easy,nonn
%O 0,3
%A _Jonathan Vos Post_, May 20 2010
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