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Muhammad Adam Dombrowski and Gregory Dresden, <a href="https://arxiv.org/abs/2404.17694">Areas Between Cosines</a>, arXiv:2404.17694 [math.CO], 2024.
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a(2*n+1) = (2*n+1)*(2*n)*a(2*n-1) + (a(2*n-1)!!)^2, using the double factorial notation from A001147. - Greg Dresden, Apr 11 2024
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