Numerators of r(n) := Sum_{k=0..n-1} 1/Product_{j=0..4} (k + j + 1), for n >= 0, with r(0) = 0.

Terms

a(0) =0a(1) =1a(2) =7a(3) =17a(4) =23a(5) =125a(6) =209a(7) =329a(8) =247a(9) =119a(10) =125a(11) =341a(12) =1819a(13) =793a(14) =3059a(15) =3875a(16) =1211a(17) =187a(18) =1219a(19) =4427a(20) =10625a(21) =12649a(22) =4983a(23) =17549a(24) =10237a(25) =11875a(26) =6851a(27) =1311a(28) =35959a(29) =40919