Number of (1,0) steps in all paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., in all length-n left factors of Motzkin paths).
A132894
Number of (1,0) steps in all paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., in all length-n left factors of Motzkin paths).
Terms
- a(0) =0a(1) =1a(2) =4a(3) =15a(4) =52a(5) =175a(6) =576a(7) =1869a(8) =6000a(9) =19107a(10) =60460a(11) =190333a(12) =596652a(13) =1863745a(14) =5804176a(15) =18028755a(16) =55873872a(17) =172818243a(18) =533589660a(19) =1644921789a(20) =5063762220a(21) =15568666029a(22) =47811348816a(23) =146675181975a(24) =449538774048
External references
- oeis: A132894