User blog:VoidSansXD/Linear array notation Part 3: Above 5 entry arrays.

RULES:

(a, 1, 4, 2) = (a, a, 3, 2)

(a, 2, 4, 2) = (a, (a, (a, (a, (a, (a, (a,......a, (a, (a, (a, 1, 3, 2), 3, 2), 3, 2), 3, 2).....3, 2)3, 2)3, 2) with a nests.

(a, 1, 5, 2) = (a, a, 4, 2)

Pattern repeats

We can finally increase the fourth entry :D

(a, 1, 1, 3) = (a, a, a, 2) = (a, 1, a+1, 2)

(a, 2, 1, 3) = (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2) with a nests.

(a, 3, 1, 3) = (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2) with (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2) with (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2)....... with (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2) with (a, a, (a, a, (a, a, (a, a....a, a, (a, a, (a, a, a, 2), 2), 2), 2......2), 2), 2) with a nests) nests) nests) nests) nests.........nests) nests.  The amount of times it says "nests" is a.

(a, 1, 2, 3) = (a, a, 1, 3)

(a, 2, 2, 3) = (a, (a, (a, (a, (a, (.......a, (a, (a, (a, (a, a, 1, 3), 1, 3), 1, 3), 1, 3).......1, 3), 1, 3) with a nests.

In general, (a, 1, x, 3) = (a, a, x-1, 3)

(a, 1, 1, 4) = (a, a, a, 3)

(a, 2, 1, 4) = (a, a, (a, a, (a, a, (a, a,.....a, a, (a, a, (a, a, (a, a, a, 3), 3), 3), 3), 3......, 3), 3), 3), 3) with a nests.

In general, four entry arrays nest the second entry, but if we're at (a, x, 1, n), then we nest the third entry.

(a, 1, 1, 5) = (a, a, a, 4)

(a, 1, 1, 6) = (a, a, a, 5)

(a, 1, 1, 1, 2) = (a, a, a, a)

We reached 5 entry arrays :D but now there's gonna be a TON of rules for the five entry arrays in order to go into the 6 entry arrays. Prepare for at least 3 parts on 5 entry arrays xd