Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16.

Terms

a(0) =1a(1) =3a(2) =7a(3) =14a(4) =27a(5) =45a(6) =73a(7) =113a(8) =166a(9) =239a(10) =336a(11) =458a(12) =615a(13) =814a(14) =1055a(15) =1354a(16) =1717a(17) =2149a(18) =2666a(19) =3281a(20) =3994a(21) =4834a(22) =5808a(23) =6927a(24) =8214a(25) =9692a(26) =11359a(27) =13261a(28) =15405a(29) =17812