Solutions of a fifth-order probability difference equation.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =2a(7) =4a(8) =8a(9) =16a(10) =32a(11) =63a(12) =124a(13) =244a(14) =480a(15) =944a(16) =1856a(17) =3649a(18) =7174a(19) =14104a(20) =27728a(21) =54512a(22) =107168a(23) =210687a(24) =414200a(25) =814296a(26) =1600864a(27) =3147216a(28) =6187264a(29) =12163841