Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 7).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =2a(9) =4a(10) =7a(11) =11a(12) =16a(13) =22a(14) =29a(15) =38a(16) =52a(17) =76a(18) =117a(19) =184a(20) =288a(21) =442a(22) =662a(23) =972a(24) =1414a(25) =2063a(26) =3047a(27) =4572a(28) =6952a(29) =10645