a(n) = a(n-1) + a(n-2) - floor(a(n-2)/2) - floor(a(n-5)/2); initial terms are 1, 1, 2, 3, 4.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =6a(6) =8a(7) =10a(8) =13a(9) =16a(10) =20a(11) =24a(12) =29a(13) =35a(14) =42a(15) =50a(16) =59a(17) =70a(18) =83a(19) =97a(20) =114a(21) =134a(22) =156a(23) =182a(24) =212a(25) =246a(26) =285a(27) =330a(28) =382a(29) =441