Consider for fixed integer $n>1$ the binomial coefficients $\binom{n-1+2^j}{n+1-2^j}$ for $j>0.$ It seems that precisely one of these numbers is odd. Is there a simple proof of this fact?
2026-03-25 15:58:15.1774454295
Parity of some binomial coefficients
93 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in BINOMIAL-COEFFICIENTS
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