Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3 or 5.

Terms

a(0) =5a(1) =26a(2) =79a(3) =166a(4) =381a(5) =547a(6) =1000a(7) =1604a(8) =2711a(9) =3568a(10) =5748a(11) =7202a(12) =10309a(13) =13708a(14) =18424a(15) =21680a(16) =29290a(17) =33838a(18) =43620a(19) =53191a(20) =65777a(21) =74117a(22) =92538a(23) =108621a(24) =129911a(25) =150358a(26) =177085a(27) =194481a(28) =234256a(29) =255180