Number of nondecreasing sequences of 6 1..n integers with no element dividing the sequence sum.

Terms

a(0) =0a(1) =0a(2) =2a(3) =9a(4) =32a(5) =82a(6) =199a(7) =407a(8) =796a(9) =1424a(10) =2407a(11) =3948a(12) =6166a(13) =9456a(14) =14171a(15) =20556a(16) =29007a(17) =40714a(18) =55528a(19) =75323a(20) =100720a(21) =132454a(22) =171336a(23) =221156a(24) =281727a(25) =355410a(26) =445061a(27) =553660a(28) =680365a(29) =835511