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a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.
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%I #8 May 10 2021 21:03:39

%S 1,2,3,5,9,18,28,53,101,195,390,704,1371,2676,5253,10506,19840,39056,

%T 76968,152168,304336,586864,1161577,2300544,4565558,9131116,17813324,

%U 35369544,70256203,139745471,279490942,549138068,1092533184

%N a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.

%K nonn

%O 0,2

%A _Clark Kimberling_

%E a(26) corrected by _Sean A. Irvine_, May 10 2021