Number of strings of numbers x(i=1..5) in 0..n with sum i*x(i) equal to n*5.

Terms

a(0) =3a(1) =12a(2) =34a(3) =78a(4) =156a(5) =282a(6) =471a(7) =744a(8) =1119a(9) =1623a(10) =2279a(11) =3118a(12) =4167a(13) =5463a(14) =7039a(15) =8935a(16) =11188a(17) =13845a(18) =16946a(19) =20545a(20) =24685a(21) =29424a(22) =34812a(23) =40911a(24) =47775a(25) =55472a(26) =64060a(27) =73612a(28) =84190a(29) =95874