a(n) = Sum_{k=0..3} f(n+k)^2 where f=A130519.

Terms

a(0) =0a(1) =1a(2) =5a(3) =14a(4) =30a(5) =65a(6) =125a(7) =216a(8) =344a(9) =533a(10) =793a(11) =1134a(12) =1566a(13) =2125a(14) =2825a(15) =3680a(16) =4704a(17) =5945a(18) =7421a(19) =9150a(20) =11150a(21) =13481a(22) =16165a(23) =19224a(24) =22680a(25) =26605a(26) =31025a(27) =35966a(28) =41454a(29) =47573