Number of Motzkin paths with no peaks and with level steps at height 0 having three colors except that consecutive level steps at height 0 must have different colors.

A125267

Number of Motzkin paths with no peaks and with level steps at height 0 having three colors except that consecutive level steps at height 0 must have different colors.

Terms

    a(0) =1a(1) =3a(2) =6a(3) =13a(4) =30a(5) =71a(6) =171a(7) =417a(8) =1026a(9) =2542a(10) =6333a(11) =15849a(12) =39813a(13) =100329a(14) =253518a(15) =642117a(16) =1629726a(17) =4143857a(18) =10553511a(19) =26916426a(20) =68739015a(21) =175752268a(22) =449846001a(23) =1152528593a(24) =2955487605a(25) =7585165701a(26) =19481930556a(27) =50073211027a(28) =128784497466a(29) =331426205715

External references