Number of distinct fountains of n coins.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =4a(6) =6a(7) =10a(8) =15a(9) =27a(10) =43a(11) =75a(12) =124a(13) =216a(14) =364a(15) =634a(16) =1081a(17) =1879a(18) =3229a(19) =5609a(20) =9680a(21) =16809a(22) =29077a(23) =50482a(24) =87452a(25) =151811a(26) =263201a(27) =456871a(28) =792468a(29) =1375530