Number of n-step one-sided prudent walks, avoiding exactly three consecutive west steps and three consecutive east steps.

A190571

Number of n-step one-sided prudent walks, avoiding exactly three consecutive west steps and three consecutive east steps.

Terms

    a(0) =1a(1) =3a(2) =7a(3) =15a(4) =37a(5) =85a(6) =199a(7) =467a(8) =1089a(9) =2549a(10) =5959a(11) =13931a(12) =32577a(13) =76165a(14) =178087a(15) =416395a(16) =973585a(17) =2276389a(18) =5322519a(19) =12444811a(20) =29097761a(21) =68034725a(22) =159074951a(23) =371940043a(24) =869649137a(25) =2033364389a(26) =4754297463a(27) =11116229131a(28) =25991337537a(29) =60771473701

External references