The number of squares with vertices coming from the vertices of the $n$-dimensional hypercube $\{0,1\}^n$ is given by $$ 2^{n-3}\sum_{j=1}^{n} \binom{n}{j}\binom{n-j}{j}. $$ The $0$-indexed sequence begins $0, 0, 1, 6, 36, 200, 1120, 6272, 35392, 200832, 1145856, \dots$. For example, when $n=4$, ...
Resolved: The tags have been removed. The tags bijectivity, injectivity and surjectivity have been created not so long ago (they are still in the list of new tags.) A natural question is what to do with these tags. So far the questions about these topics were typically tagged functions and...
The number of squares with vertices coming from the vertices of the $n$-dimensional hypercube $\{0,1\}^n$ is given by $$ 2^{n-3}\sum_{j=1}^{n} \binom{n}{j}\binom{n-j}{j}. $$ The $0$-indexed sequence begins $0, 0, 1, 6, 36, 200, 1120, 6272, 35392, 200832, 1145856, \dots$. For example, when $n=4$, ...
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