Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n and having k double rises at an even level (n >= 1, k >= 0). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.

A121531

Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n and having k double rises at an even level (n >= 1, k >= 0). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =1a(4) =7a(5) =6a(6) =12a(7) =20a(8) =2a(9) =20a(10) =51a(11) =18a(12) =33a(13) =115a(14) =80a(15) =5a(16) =54a(17) =240a(18) =262a(19) =54a(20) =88a(21) =477a(22) =725a(23) =294a(24) =13a(25) =143a(26) =916a(27) =1803a(28) =1158a(29) =161

External references