The first six rows of Pascal's triangle are shown below, beginning with row zero. Except for the at each end, row cons

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The first six rows of Pascal's triangle are shown below, beginning with row zero. Except for the $1$ at each end, row $4$ consists of only even numbers, as does row $2.$ How many of the first $20$ rows have this property? (Don't include row $0$ or row $1$ ). $\begin{tabular}{ccccccccccc} &&&&&1&&&&&\\ &&&&1&&1&&&&\\ &&&1&&2&&1&&&\\ &&1&&3&&3&&1&&\\ &1&&4&&6&&4&&1&\\ 1&&5&&10&&10&&5&&1\\ \end{tabular}$

Mellie Apr 29, 2015

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+129852

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Here you go, Mellie.....it's a "left-justified" version, but I think you have enough to go on....

Knock yourself out.....!!!!

http://www.tsm-resources.com/alists/pasc.html

CPhill Apr 29, 2015

4⁺⁰ Answers

+129852

+11

Best Answer

Here you go, Mellie.....it's a "left-justified" version, but I think you have enough to go on....

Knock yourself out.....!!!!

http://www.tsm-resources.com/alists/pasc.html

CPhill Apr 29, 2015

+1836

+5

woah! I am not sure how to read that

Mellie Apr 30, 2015

+129852

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The first "1" is row "0"

Then, the second row is just row "1"

The third row is just row "2"

Got the pattern???

So...just disregard the beginning and ending "1s" in each row......and look at all the rows where the rest of the numbers are all even......

CPhill Apr 30, 2015

+1836

+5

Oh, ok thanks CPhill!

Mellie Apr 30, 2015

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