User:Wythagoras/Dollar function/Hyper Nested Array Notation III

Hyper Nested Array Notation III is the eight part of Dollar Function. This time we are going to use seperators for the backslashes. The backslash becomes now \((_20)\).

The arrays in the < > brackets work the same as in Nested Array Notation.

15. \([b\bullet<0>\triangle1] = [[0]([b-1\bullet<0>\triangle1][b-1\bullet<0>\triangle1])\triangle1]\)

16. \([0<0>\triangle1] = [[0]([[0]([[0]([[0](...)\triangle1]1)\triangle1]1)\triangle1]1)\triangle1]\)

17. \([0<\bullet>\triangle d] = [[0]<\bullet>\triangle d-1]\)

18. \([0<\diamond(_20)0(_20)k\bullet>\triangle1] = [[0]<\diamond(_20)[0]<\diamond(_20)[0]<\diamond(_20)...(_20)k-1\bullet>\triangle1(_20)k-1\bullet>\triangle1(_20)k-1\bullet>\triangle1]\)

19. \([b\bullet<\diamond(_20)0(_20)k\bullet>\triangle1] = [[0]<\diamond(_20)[b-1\bullet<\diamond(_20)0(_20)k\bullet>\triangle1][b-1\bullet<\diamond(_20)0(_20)k\bullet>\triangle1](_20)k\bullet>\triangle1\)

This is not finished yet.