Number of 0..n arrays x(0..5) of 6 elements with nondecreasing average value.

Terms

a(0) =7a(1) =53a(2) =233a(3) =767a(4) =2070a(5) =4874a(6) =10283a(7) =20012a(8) =36412a(9) =62780a(10) =103412a(11) =164018a(12) =251615a(13) =375282a(14) =545834a(15) =776713a(16) =1083692a(17) =1485962a(18) =2005409a(19) =2668396a(20) =3504549a(21) =4548781a(22) =5840076a(23) =7423854a(24) =9349952a(25) =11676207a(26) =14465536a(27) =17789881a(28) =21727318a(29) =26366500