a(0)=1, a(1)=2, a(2)=3, a(3)=5, a(4)=7, a(5)=10; a(n) = floor(a(n-1) + 1 + a(n-2)/6) for n>=6.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =10a(6) =12a(7) =14a(8) =17a(9) =20a(10) =23a(11) =27a(12) =31a(13) =36a(14) =42a(15) =49a(16) =57a(17) =66a(18) =76a(19) =88a(20) =101a(21) =116a(22) =133a(23) =153a(24) =176a(25) =202a(26) =232a(27) =266a(28) =305a(29) =350