Total number of sequences with c_j copies of j and longest increasing subsequence of length k summed over all compositions [c_1, c_2, ..., c_k] of n.

A268699

Total number of sequences with c_j copies of j and longest increasing subsequence of length k summed over all compositions [c_1, c_2, ..., c_k] of n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =6a(4) =22a(5) =95a(6) =471a(7) =2618a(8) =16052a(9) =107313a(10) =775045a(11) =6002106a(12) =49536510a(13) =433485429a(14) =4004680967a(15) =38912323570a(16) =396393445096

External references