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William Dowling and Nadia Lafreniere, <a href="https://arxiv.org/abs/2312.02383">Homomesy on permutations with toggling actions</a>, arXiv:2312.02383 [math.CO], 2023. See page 10.
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a(n) = Sum_{p <= 2n+1, p prime} min(p-1, 2n+1-p). - Ridouane Oudra, Oct 30 2023
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(MAGMAMagma) sol:=[]; for n in [1..56] do k:=0; for i, j in [1..n] do if IsPrime(i+j) then k:=k+1; end if; end for; Append(~sol, k); end for; sol; // Marius A. Burtea, Aug 29 2019
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