Rows in Pascal's Triangle containing Numbers in Arithmetic Sequence/Examples/490314, 817190, 1144066

Example of Rows in Pascal's Triangle containing Numbers in Arithmetic Progression
The integers:
 * $490 \, 314, 817 \, 190, 1 \, 144 \, 066$

are in arithmetic progression and appear in row $23$ of Pascal's triangle.

Proof
We have:

thus demonstrating the common difference of $326 \, 876$.

Then we have that row $23$ of Pascal's triangle is:
 * $1, 23, 253, 1771, 8855, 33 \, 649, 100 \, 947,$
 * $245 \, 157, \color {red} {490 \, 314, 817 \, 190, 1 \, 144 \, 066}, 1 \, 352 \, 078, 1 \, 352 \, 078,$
 * $1 \, 144 \, 066, 817 \, 190, 490 \, 314, 245 \, 157, 100 \, 947, 33 \, 649, 8855, 1771, 253, 23, 1$