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%I #2 Mar 30 2012 18:40:52
%S 0,3,15,36,88,145,236,357,493,704,896,1122,1531,1862,2229,2635,3146,
%T 3653,4539,5176,5948,6669,7540,8492,9594,10660,11887,13079,14720,
%U 16341,17737,19118,20619,22351,24143,26070,28012,30413,33024,35575,37997
%N Partial sums of A061262.
%C Partial sums of smallest number representable as the sum of 3 triangular numbers in exactly n ways. The subsequence of triangular numbers in the partial sum begins: 3, 15, 36. The subsequence of primes in the partial sum begins: 3, 1531, 11887, 17737, 37997, 43441.
%F a(n) = SUM[i=0..n] A061262(i).
%e a(13) = 0 + 3 + 12 + 21 + 52 + 57 + 91 + 121 + 136 + 211 + 192 + 226 + 409 = 1531 is prime.
%Y Cf. A061262, A000217, A053614, A060773, A002636, A124978.
%K nonn
%O 0,2
%A _Jonathan Vos Post_, Apr 23 2010
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