Irreducible quadruple Euler sums of weight 2n+10 (verified for n <= 14).

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =7a(5) =11a(6) =16a(7) =20a(8) =27a(9) =35a(10) =43a(11) =54a(12) =66a(13) =78a(14) =94a(15) =111a(16) =128a(17) =150a(18) =173a(19) =196a(20) =224a(21) =254a(22) =284a(23) =320a(24) =357a(25) =395a(26) =439a(27) =485a(28) =531a(29) =585