Number of (v,w,x,y,z) with all terms in {0,1,...,n} and v=average(w,x,y,z).

Terms

a(0) =1a(1) =2a(2) =21a(3) =64a(4) =157a(5) =322a(6) =601a(7) =1024a(8) =1641a(9) =2498a(10) =3661a(11) =5184a(12) =7141a(13) =9602a(14) =12657a(15) =16384a(16) =20881a(17) =26242a(18) =32581a(19) =40000a(20) =48621a(21) =58562a(22) =69961a(23) =82944a(24) =97657a(25) =114242a(26) =132861a(27) =153664a(28) =176821a(29) =202498