Number of Dyck paths of semilength n such that the number of peaks is weakly decreasing from lower to higher levels.

A288140

Number of Dyck paths of semilength n such that the number of peaks is weakly decreasing from lower to higher levels.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =12a(6) =28a(7) =63a(8) =177a(9) =455a(10) =1233a(11) =3383a(12) =9359a(13) =26809a(14) =77078a(15) =223201a(16) =653982a(17) =1934508a(18) =5783712a(19) =17431660a(20) =52879184a(21) =161386859a(22) =495432345a(23) =1530191918a(24) =4754079840a(25) =14849407892a(26) =46604383972a(27) =146897291083a(28) =464892421363

External references