Number of compositions of n such that the greatest part occurs with even multiplicity.

Terms

a(0) =0a(1) =1a(2) =0a(3) =2a(4) =3a(5) =8a(6) =13a(7) =27a(8) =51a(9) =105a(10) =210a(11) =424a(12) =848a(13) =1702a(14) =3405a(15) =6818a(16) =13638a(17) =27274a(18) =54525a(19) =109000a(20) =217886a(21) =435562a(22) =870738a(23) =1740829a(24) =3480614a(25) =6959663a(26) =13917156a(27) =27831708a(28) =55661156a(29) =111322666