Regular triangle T(n,k) = binomial(2*n-2*k,n-k)*((n+1)/k)*Sum_{k=0..floor((k-1)/2)} (-1)^k*binomial(2*k,k)*binomial(n+3*k-2*k,k-2*k-1), read by rows.

A306625

Regular triangle T(n,k) = binomial(2*n-2*k,n-k)*((n+1)/k)*Sum_{k=0..floor((k-1)/2)} (-1)^k*binomial(2*k,k)*binomial(n+3*k-2*k,k-2*k-1), read by rows.

Terms

    a(0) =2a(1) =6a(2) =12a(3) =24a(4) =36a(5) =80a(6) =100a(7) =150a(8) =240a(9) =560a(10) =420a(11) =660a(12) =1020a(13) =1680a(14) =4032a(15) =1764a(16) =2940a(17) =4620a(18) =7224a(19) =12096a(20) =29568a(21) =7392a(22) =13104a(23) =21280a(24) =33320a(25) =52416a(26) =88704a(27) =219648a(28) =30888a(29) =58212

External references