Numerator of Sum_{k=1..n} 1/(k(k+1)(k+2)(k+3)) = Sum_{k=1..n} 1/Pochhammer(k,4).

Terms

a(0) =0a(1) =1a(2) =1a(3) =19a(4) =17a(5) =55a(6) =83a(7) =119a(8) =82a(9) =73a(10) =95a(11) =121a(12) =227a(13) =559a(14) =679a(15) =815a(16) =484a(17) =1139a(18) =443a(19) =171a(20) =295a(21) =2023a(22) =2299a(23) =2599a(24) =1462a(25) =3275a(26) =3653a(27) =451a(28) =749a(29) =551