Number of multiplex juggling cards with n balls and capacity 2.

Terms

a(0) =1a(1) =2a(2) =7a(3) =17a(4) =41a(5) =91a(6) =195a(7) =403a(8) =812a(9) =1601a(10) =3102a(11) =5922a(12) =11165a(13) =20824a(14) =38477a(15) =70513a(16) =128287a(17) =231893a(18) =416751a(19) =745073a(20) =1325770a(21) =2348929a(22) =4145388a(23) =7289460a(24) =12775705a(25) =22322558a(26) =38892931a(27) =67585361a(28) =117157061a(29) =202623103