Triangle read by rows: T(n,k) = binomial(2n+1, n-k)*Fibonacci(2k+1), 0 <= k <= n.

Terms

a(0) =1a(1) =3a(2) =2a(3) =10a(4) =10a(5) =5a(6) =35a(7) =42a(8) =35a(9) =13a(10) =126a(11) =168a(12) =180a(13) =117a(14) =34a(15) =462a(16) =660a(17) =825a(18) =715a(19) =374a(20) =89a(21) =1716a(22) =2574a(23) =3575a(24) =3718a(25) =2652a(26) =1157a(27) =233a(28) =6435a(29) =10010