a(n) = Sum_{k=1..n} J_4(k)/240.

Terms

a(0) =4a(1) =9a(2) =19a(3) =35a(4) =62a(5) =101a(6) =162a(7) =242a(8) =361a(9) =511a(10) =719a(11) =975a(12) =1323a(13) =1728a(14) =2271a(15) =2895a(16) =3695a(17) =4610a(18) =5776a(19) =7056a(20) =8681a(21) =10466a(22) =12653a(23) =15053a(24) =18000a(25) =21120a(26) =24968a(27) =29064a(28) =33944a(29) =39164