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F14Rainman's AvatarF14Rainman
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Join Date: 06-28-2006
Total Posts: 622 (0.46) posts per day
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06-06-2008 05:50 AM
knocka's Avatar

PASCAL'S TRIANGLE.
I like the way there is an existing notation in Mathematics for the numbers in Pascal’s Triangle. The third row (1 3 3 1) would be 3C0, 3C1, 3C2, 3C3 (although of course the numbers would be normally be written much smaller than the C).

6C3, 2C2, 7C1, would all identify particular numbers – on the 6th row (1 6 15 20 15 6 1), the 2nd row (1 2 1) and the 7th row (1 7 21 35 35 21 7 1).

Sometimes in Mathematics numbers are added, such as 4C0 + 4C1, and 4C1 + 4C2 + 4C3. That idea could be extended to adding numbers from different rows together, although that is less likely to have a practical application. Examples could be 4C1 + 5C1, and 3C1 + 4C1 + 5C1 + 6C1, where numbers are in line. Numbers in a triangular formation could be 3C1 + 3C2 + 4C2. I suppose that could fit in with Triangles in general.
05-15-2008 09:01 PM
knocka's Avatar

It has been fun working on the puzzles in the recent hunts. Look forward to more puzzle solving in the future.
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