Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) such that slopes of adjacent steps differ by at most one, assuming zero slope before and after the paths.
A333679
Sum of the heights of all nonnegative lattice paths from (0,0) to (n,0) such that slopes of adjacent steps differ by at most one, assuming zero slope before and after the paths.
Terms
- a(0) =0a(1) =0a(2) =0a(3) =1a(4) =3a(5) =8a(6) =20a(7) =53a(8) =137a(9) =375a(10) =1035a(11) =2878a(12) =7988a(13) =22308a(14) =62642a(15) =176692a(16) =499818a(17) =1418228a(18) =4035568a(19) =11512449a(20) =32916181a(21) =94313011a(22) =270757747a(23) =778694171a(24) =2243200705a(25) =6471953522a(26) =18699169766a(27) =54098598824a(28) =156706773404a(29) =454457344755
External references
- oeis: A333679