Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one.

A371926

Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =1a(8) =2a(9) =1a(10) =1a(11) =4a(12) =8a(13) =11a(14) =14a(15) =23a(16) =44a(17) =79a(18) =130a(19) =209a(20) =347a(21) =598a(22) =1042a(23) =1801a(24) =3084a(25) =5273a(26) =9060a(27) =15658a(28) =27152a(29) =47122

External references