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# Favard constant

In mathematics, the Favard constant of order r is defined as

$K_r = frac\left\{4\right\}\left\{pi\right\} sumlimits_\left\{k=0\right\}^\left\{infty\right\} left\left[frac\left\{\left(-1\right)^k\right\}\left\{2k+1\right\} right\right]^\left\{r+1\right\}.$

This constant is named after the French mathematician Jean Favard.

## Uses

This constant is used in solutions of several extremal problems, for example

## References

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