Riordan array (((1+x)/(1-x-x^2))^m, x*A000108(x)), m=3.

Terms

a(0) =1a(1) =6a(2) =1a(3) =21a(4) =7a(5) =1a(6) =59a(7) =29a(8) =8a(9) =1a(10) =147a(11) =97a(12) =38a(13) =9a(14) =1a(15) =339a(16) =292a(17) =145a(18) =48a(19) =10a(20) =1a(21) =741a(22) =835a(23) =496a(24) =204a(25) =59a(26) =11a(27) =1a(28) =1557a(29) =2347