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# Number Wall

Number walls are a tool for analyzing integer sequences. The sequence is
input into the top row, and the other rows of numbers are calculated
according to the cross rule (by solving for D):

There are other more elaborate rules for cases where zeros make the cross rule useless (when C is 0). For more details, see this Mathologer video.

UI note: For numbers that don't fit, I just write "big", but you can hover over the cell to see the actual value.

Sequence:

Color modulo: Off

Grow/shrink wall:

you're my number waaaaaaall

There are other more elaborate rules for cases where zeros make the cross rule useless (when C is 0). For more details, see this Mathologer video.

UI note: For numbers that don't fit, I just write "big", but you can hover over the cell to see the actual value.

Sequence:

Color modulo: Off

Grow/shrink wall:

Using the number wall, we can deduce a recurrence relation for the
sequence:

The predicted next values are:

The predicted next values are:

The number wall doesn't converge to zeros. Either there is no simple
recurrence relation, or we haven't evaluated enough of the wall.

and after aaaaaaallyou're my number waaaaaaall