Posted:

**Feb 10, 2020 1:26 am**Well, crud, I guess only 3 attachments may be uploaded at a time (at least inline).

Continuing from above:

As an example, if we want to calculate the result for n=10, k=7, we look at the "10:" row and we calculate:

which agrees with a direct calculation from the original expression.

Finally, one last thing. Similar to OEIS A102426, is OEIS A030528 which has some leading zeros such that in the EXAMPLE section of that sequence, the rows of Pascal's Triangle (starting from row 1) show up as columns in the table. Note that to get the coefficients for n from this table, we need to choose row [n - 1].

Continuing from above:

As an example, if we want to calculate the result for n=10, k=7, we look at the "10:" row and we calculate:

which agrees with a direct calculation from the original expression.

Finally, one last thing. Similar to OEIS A102426, is OEIS A030528 which has some leading zeros such that in the EXAMPLE section of that sequence, the rows of Pascal's Triangle (starting from row 1) show up as columns in the table. Note that to get the coefficients for n from this table, we need to choose row [n - 1].