Number of fountains of n coins.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =9a(7) =15a(8) =26a(9) =45a(10) =78a(11) =135a(12) =234a(13) =406a(14) =704a(15) =1222a(16) =2120a(17) =3679a(18) =6385a(19) =11081a(20) =19232a(21) =33379a(22) =57933a(23) =100550a(24) =174519a(25) =302903a(26) =525734a(27) =912493a(28) =1583775a(29) =2748893