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

Terms

a(0) =0a(1) =0a(2) =7a(3) =36a(4) =117a(5) =292a(6) =612a(7) =1143a(8) =1963a(9) =3159a(10) =4833a(11) =7099a(12) =10080a(13) =13914a(14) =18751a(15) =24750a(16) =32085a(17) =40942a(18) =51516a(19) =64017a(20) =78667a(21) =95697a(22) =115353a(23) =137893a(24) =163584a(25) =192708a(26) =225559a(27) =262440a(28) =303669a(29) =349576