A005248
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A084534: Triangle read by rows: T(n,0)=1, T(n,n)=2, T(n,m) = T(n-1,m-1) + Sum_{k=0..m} T(n-1-k,m-k).
match row sums
1 · 1, 2 · 1, 4, 2 · 1, 6, 9, 2 … Σ 1, 3, 7, 18, 47, 123, 322, 843, …
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