Number of Dyck paths of semilength n such that the number of peaks in each level is a Fibonacci number.

A288388

Number of Dyck paths of semilength n such that the number of peaks in each level is a Fibonacci number.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =41a(6) =120a(7) =389a(8) =1251a(9) =4137a(10) =13853a(11) =46808a(12) =159861a(13) =550275a(14) =1905212a(15) =6634122a(16) =23214226a(17) =81553913a(18) =287563509a(19) =1017218432a(20) =3608376287a(21) =12832434230a(22) =45739760100a(23) =163366352143a(24) =584561531878

External references