4 ms·
What's the next number in this sequence?
- JoeAltmaier 10y agoThere's a trivial way to generate a machine to come up with polynomial number sequences. Just write the sequence in a column. Then take the differences between each entry and the next, and write it to the left. Once that column is complete, repeat (taking differences between entry and next entry, and write to the left). When you get down to 1 entry (there is 1 fewer in each column) just fill that down the column to complete the matrix. To generate next entries, simply take the last row and add each entry to the one to the left, and write it below creating a new row. The right column is your polynomial sequence. This was used in hardware long ago to generate simple polynomial curves in a graphics circuit using only cascaded adders.