Number of weighted lattice paths in F[n]. The members of F[n] are paths of weight n that start at (0,0), do not go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.
A182905
Number of weighted lattice paths in F[n]. The members of F[n] are paths of weight n that start at (0,0), do not go below the horizontal axis, and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.
Terms
- a(0) =1a(1) =1a(2) =3a(3) =6a(4) =14a(5) =32a(6) =75a(7) =177a(8) =422a(9) =1013a(10) =2447a(11) =5942a(12) =14495a(13) =35501a(14) =87257a(15) =215144a(16) =531970a(17) =1318726a(18) =3276644a(19) =8158736a(20) =20354413a(21) =50870857a(22) =127348839a(23) =319288920a(24) =801657469a(25) =2015431885a(26) =5073224661a(27) =12785062080a(28) =32254748838a(29) =81457050078
External references
- oeis: A182905