Number of nondecreasing sequences of 3 1..n integers with no element dividing the sequence sum.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =9a(5) =16a(6) =29a(7) =43a(8) =64a(9) =92a(10) =127a(11) =168a(12) =219a(13) =281a(14) =355a(15) =435a(16) =531a(17) =638a(18) =762a(19) =901a(20) =1057a(21) =1230a(22) =1420a(23) =1628a(24) =1858a(25) =2107a(26) =2380a(27) =2674a(28) =2992a(29) =3338