Number of 3 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal.

Terms

a(0) =8a(1) =64a(2) =292a(3) =948a(4) =2527a(5) =5913a(6) =12577a(7) =24821a(8) =46068a(9) =81198a(10) =136930a(11) =222250a(12) =348885a(13) =531823a(14) =789879a(15) =1146307a(16) =1629458a(17) =2273484a(18) =3119088a(19) =4214320a(20) =5615419a(21) =7387701a(22) =9606493a(23) =12358113a(24) =15740896a(25) =19866266a(26) =24859854a(27) =30862662a(28) =38032273a(29) =46544107