a(n) = p(7n+5)/7 where p(k) denotes the k-th partition number.

Terms

a(0) =1a(1) =11a(2) =70a(3) =348a(4) =1449a(5) =5334a(6) =17822a(7) =55165a(8) =160215a(9) =441105a(10) =1159752a(11) =2929465a(12) =7142275a(13) =16873472a(14) =38749850a(15) =86737678a(16) =189672868a(17) =405991500a(18) =852077072a(19) =1756048833a(20) =3558408287a(21) =7098041203a(22) =13951818365a(23) =27047831797a(24) =51760979985