Number of 0..n arrays x(0..4) of 5 elements with nondecreasing average value.

Terms

a(0) =6a(1) =32a(2) =110a(3) =297a(4) =679a(5) =1387a(6) =2583a(7) =4500a(8) =7410a(9) =11669a(10) =17687a(11) =25980a(12) =37111a(13) =51787a(14) =70763a(15) =94950a(16) =125323a(17) =163042a(18) =209312a(19) =265570a(20) =333296a(21) =414214a(22) =510106a(23) =623032a(24) =755080a(25) =908676a(26) =1086266a(27) =1290643a(28) =1524638a(29) =1791469