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

Terms

a(0) =3a(1) =20a(2) =113a(3) =243a(4) =1024a(5) =1636a(6) =3866a(7) =6599a(8) =12387a(9) =16807a(10) =32768a(11) =41744a(12) =66291a(13) =90598a(14) =133205a(15) =161051a(16) =248832a(17) =292932a(18) =401910a(19) =501113a(20) =661703a(21) =759375a(22) =1048576a(23) =1185856a(24) =1507979a(25) =1788296a(26) =2222649a(27) =2476099a(28) =3200000a(29) =3532100