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Continued fraction: 1/(1 + 1/(5 + 6/(119 + 120/(503 + ... + P(n-1)/((P(n) - 1) + ... ))))), where P(n) = (3*n)*(3*n - 1)*(3*n - 2) for n >= 21. See Bowman and Mc Laughlin, Corollary 10, p. 341 with m = 1, who also show that the constant is irrational. - Peter Bala, Feb 21 2024
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Continued fraction: 1/(1 + 1/(5 + 6/(119 + 120/(503 + ... + P(3*n-31)*/((P(3*n) -4 1) + ... )))))*, where P(3*n-5)/( ( = (3*n)*(3*n - 1)*(3*n - 2) - 1) + ... )))))for n >= 2. See Bowman and Mc Laughlin, Corollary 10, p. 341 with m = 1, who also show that the constant is irrational. - Peter Bala, Feb 21 2024~
D. Bowman and J. Mc Laughlin, <a href="https://doi.org/10.4064/aa103-4-3">Polynomial continued fractions</a>, Acta Arith. 103 (2002), no. 4, 329-342.
Continued fraction: 1/(1 + 1/(5 + 6/(119 + 120/(503 + ... + (3*n-3)*(3*n-4)*(3*n-5)/( ((3*n)*(3*n-1)*(3*n-2) - 1) + ... ))))). See Bowman and Mc Laughlin, Corollary 10, p. 341 with m = 1, who also show that the constant is irrational. - Peter Bala, Feb 21 2024~
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