Number of Dyck paths of semilength n such that all positive levels up to the highest level have a positive number of peaks and the number of peaks of adjacent levels is different.
A287989
Number of Dyck paths of semilength n such that all positive levels up to the highest level have a positive number of peaks and the number of peaks of adjacent levels is different.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =6a(5) =10a(6) =27a(7) =84a(8) =226a(9) =770a(10) =2390a(11) =7579a(12) =25222a(13) =84299a(14) =285284a(15) =976105a(16) =3386494a(17) =11858759a(18) =41782516a(19) =148205047a(20) =529101609a(21) =1899680494a(22) =6854597493a(23) =24847293152a(24) =90460431604a(25) =330654288724
External references
- oeis: A287989