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a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.
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%I #8 Aug 05 2021 19:40:33

%S 0,0,2,6,13,22,36,52,73,98,130,164,207,252,306,368,439,512,598,686,

%T 787,898,1022,1148,1291,1440,1604,1778,1969,2162,2378,2596,2831,3080,

%U 3348,3628,3933,4240,4568,4912,5281,5652,6054,6458,6887,7338,7814,8292,8803

%N a(n) = Sum_{i=1..n} T(i,n-i), where T is A049615.

%K nonn

%O 0,3

%A _Clark Kimberling_

%E More terms from _Sean A. Irvine_, Aug 05 2021