Number of length 7 1..(n+1) arrays with every leading partial sum divisible by 2, 3 or 5.

Terms

a(0) =10a(1) =141a(2) =1262a(3) =5316a(4) =31005a(5) =69858a(6) =207232a(7) =455349a(8) =1064100a(9) =1766942a(10) =3855379a(11) =5917097a(12) =10665539a(13) =17086474a(14) =28487211a(15) =39458933a(16) =66274569a(17) =88286570a(18) =135372973a(19) =187704485a(20) =269256161a(21) =341006752a(22) =499566860a(23) =652466750a(24) =884037304a(25) =1129942612a(26) =1495449427a(27) =1801088541a(28) =2494357888