Coefficients of 1/(Sum_{k>=0} round((k+1)*r)(-x)^k), where r = 7/5.

Terms

a(0) =1a(1) =3a(2) =5a(3) =9a(4) =18a(5) =35a(6) =66a(7) =124a(8) =234a(9) =441a(10) =830a(11) =1563a(12) =2944a(13) =5544a(14) =10440a(15) =19661a(16) =37026a(17) =69727a(18) =131310a(19) =247284a(20) =465686a(21) =876981a(22) =1651534a(23) =3110175a(24) =5857092a(25) =11030096a(26) =20771916a(27) =39117745a(28) =73666674a(29) =138729339