Total number of sequences with p_j copies of j and longest increasing subsequence of length k summed over all partitions [p_1, p_2, ..., p_k] of n.
A268698
Total number of sequences with p_j copies of j and longest increasing subsequence of length k summed over all partitions [p_1, p_2, ..., p_k] of n.
Terms
- a(0) =1a(1) =1a(2) =2a(3) =4a(4) =13a(5) =36a(6) =157a(7) =554a(8) =2800a(9) =12530a(10) =70772a(11) =362188a(12) =2370564a(13) =13658713a(14) =95366064a(15) =642861687a(16) =4774830263a(17) =34769374156a(18) =288999332899
External references
- oeis: A268698