Saturday, April 16, 2011

Pascal's triangle

(1) Find all instances of three consecutive terms in a row of Pascal's triangle
in the ratio 1 : 2 : 3

(2) If we replace even integers by 0 and odd integers by 1 in the Pascal's triangle,
we get a modulo 2 Pascal triangle

Will 1101 or 1011 occur as a consecutive segment in any row of this modulo 2 Pascal triangle?

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