Number of n X 3 binary arrays with all 1s connected, a path of 1s from left column to lower right corner, and no 1 having more than two 1s adjacent.

A163705

Number of n X 3 binary arrays with all 1s connected, a path of 1s from left column to lower right corner, and no 1 having more than two 1s adjacent.

Terms

    a(0) =1a(1) =7a(2) =28a(3) =80a(4) =200a(5) =469a(6) =1064a(7) =2359a(8) =5144a(9) =11091a(10) =23739a(11) =50569a(12) =107380a(13) =227518a(14) =481337a(15) =1017225a(16) =2148079a(17) =4533560a(18) =9564187a(19) =20170750a(20) =42529933a(21) =89658336a(22) =188985456a(23) =398310426a(24) =839423323a(25) =1768945377a(26) =3727588148a(27) =7854637968a(28) =16550561260a(29) =34873079861

External references