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a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.
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%I #11 Sep 16 2019 04:31:16

%S 1,3,7,13,25,36,62,78,126,152,244,266,419,423,637,679,932,1007,1307,

%T 1419,1697,1918,2229,2514,2899,3300,3672,4223,4663,5298,5682,6495,

%U 6988,7619,8324,9289,9861,11033,11697,12812,13727,14956,16008,17298,18473,19701,21186,22502

%N a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.

%C a(n) is the sum of the terms of the n-th antidiagonal of triangle A026098. - _Sean A. Irvine_, Sep 16 2019

%K nonn

%O 1,2

%A _Clark Kimberling_

%E a(11) onward corrected and more terms from _Sean A. Irvine_, Sep 16 2019