Irregular triangle T(n,k), n >= 0, 0 <= k <= 2*n+1, read by rows, where T(n,k) = [x^k] (1-x)^(n+1) * Sum_{k=0..n} (2*k+1)^n * x^k.
A382289
Irregular triangle T(n,k), n >= 0, 0 <= k <= 2*n+1, read by rows, where T(n,k) = [x^k] (1-x)^(n+1) * Sum_{k=0..n} (2*k+1)^n * x^k.
Terms
- a(0) =1a(1) =-1a(2) =1a(3) =1a(4) =-5a(5) =3a(6) =1a(7) =6a(8) =1a(9) =-49a(10) =66a(11) =-25a(12) =1a(13) =23a(14) =23a(15) =1a(16) =-729a(17) =1585a(18) =-1247a(19) =343a(20) =1a(21) =76a(22) =230a(23) =76a(24) =1a(25) =-14641a(26) =44644a(27) =-54230a(28) =30404a(29) =-6561
External references
- oeis: A382289