Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.

Terms

a(0) =1a(1) =2a(2) =5a(3) =9a(4) =15a(5) =23a(6) =36a(7) =50a(8) =71a(9) =96a(10) =127a(11) =165a(12) =213a(13) =266a(14) =333a(15) =409a(16) =498a(17) =600a(18) =720a(19) =851a(20) =1005a(21) =1176a(22) =1368a(23) =1582a(24) =1824a(25) =2085a(26) =2381a(27) =2703a(28) =3057a(29) =3444