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Table[Floor[1/2 + Sqrt[2] Sqrt[n]] + ( 2 n + Floor[1/2 (1 + Sqrt[-7 + 8 n])] - Floor[1/2 (1 + Sqrt[-7 + 8 n])]^2)/(2 Floor[1/2 + Sqrt[2] Sqrt[n]]),{n,1,15}]