Number of arrays of maxima of three adjacent elements of some length 7 0..n array.

Terms

a(0) =17a(1) =91a(2) =310a(3) =821a(4) =1847a(5) =3703a(6) =6812a(7) =11721a(8) =19117a(9) =29843a(10) =44914a(11) =65533a(12) =93107a(13) =129263a(14) =175864a(15) =235025a(16) =309129a(17) =400843a(18) =513134a(19) =649285a(20) =812911a(21) =1007975a(22) =1238804a(23) =1510105a(24) =1826981a(25) =2194947a(26) =2619946a(27) =3108365a(28) =3667051a(29) =4303327