Number of length n+2 0..2 arrays with no consecutive three elements summing to more than 2.

Terms

a(0) =10a(1) =20a(2) =40a(3) =76a(4) =147a(5) =287a(6) =556a(7) =1077a(8) =2091a(9) =4057a(10) =7868a(11) =15264a(12) =29613a(13) =57445a(14) =111438a(15) =216184a(16) =419380a(17) =813563a(18) =1578253a(19) =3061693a(20) =5939450a(21) =11522085a(22) =22351978a(23) =43361147a(24) =84117349a(25) =163181309a(26) =316559417a(27) =614101361a(28) =1191310271a(29) =2311051970