Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2*k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows.
A157272
Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2*k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =20a(8) =20a(9) =1a(10) =1a(11) =47a(12) =155a(13) =47a(14) =1a(15) =1a(16) =102a(17) =753a(18) =753a(19) =102a(20) =1a(21) =1a(22) =213a(23) =3004a(24) =7109a(25) =3004a(26) =213a(27) =1a(28) =1a(29) =436
External references
- oeis: A157272