Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with largest part k and Aut(p) = 1^j[1]*j[1]!*...*n^j[n]*j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.

A271708

Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with largest part k and Aut(p) = 1^j[1]*j[1]!*...*n^j[n]*j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =2a(6) =0a(7) =6a(8) =2a(9) =3a(10) =0a(11) =24a(12) =12a(13) =3a(14) =4a(15) =0a(16) =120a(17) =20a(18) =12a(19) =4a(20) =5a(21) =0a(22) =720a(23) =112a(24) =42a(25) =16a(26) =5a(27) =6a(28) =0a(29) =5040

External references