Number of 0..4 arrays x(0..n-1) of n elements with nondecreasing average value.

Terms

a(0) =5a(1) =15a(2) =42a(3) =113a(4) =297a(5) =767a(6) =1957a(7) =4947a(8) =12419a(9) =31006a(10) =77067a(11) =190855a(12) =471214a(13) =1160452a(14) =2851731a(15) =6995305a(16) =17133294a(17) =41909286a(18) =102399361a(19) =249960246a(20) =609662706a(21) =1485944622a(22) =3619527395a(23) =8811972483a(24) =21443566290a(25) =52161461882a(26) =126839318918