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Pascal coefficient remainders (Posted on 2024-06-22) |
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When (1+x)n is expanded in ascending powers of x, N1 of the coefficients leave a remainder
of 1 when divided by 3, while N2 of the coefficients leave a remainder of 2 when divided by 3.
Prove that N1-N2=2k where k is the number of 1's in the base 3 representation of n.
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| No Subject | Kyle Linel | 2024-10-01 09:20:43 |
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