Number of length 6 1..(n+1) arrays with every leading partial sum divisible by 2, 3 or 5.

Terms

a(0) =9a(1) =80a(2) =496a(3) =1557a(4) =6898a(5) =13504a(6) =34624a(7) =70093a(8) =148847a(9) =228892a(10) =445746a(11) =634828a(12) =1050561a(13) =1577663a(14) =2454082a(15) =3224498a(16) =5045974a(17) =6413426a(18) =9283270a(19) =12331470a(20) =16833674a(21) =20503929a(22) =28478040a(23) =35893071a(24) =46651077a(25) =57687196a(26) =73435900a(27) =85766121