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A125776
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Continued fraction expansion of the Landau-Ramanujan constant (A064533).
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2
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0, 1, 3, 4, 6, 1, 15, 1, 2, 2, 3, 1, 23, 3, 1, 1, 3, 1, 1, 6, 4, 1, 1, 2, 4, 39, 1, 1, 3, 1, 2, 1, 3, 181, 2, 1, 103, 2, 1, 5, 1, 1, 1, 1, 6, 1, 7, 5, 1, 2, 1, 2, 2, 2, 2, 1, 21, 8, 1, 9, 2, 2, 4, 2, 6, 1, 4, 1, 1, 1, 1, 15, 1, 1, 10, 1, 7, 2, 1, 1, 2, 4, 2, 4, 1, 3, 1, 4, 1, 1, 23, 1, 1, 48, 1, 38, 1, 1, 1
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OFFSET
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1,3
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COMMENTS
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Increasing PQ's: 0, 1, 3, 4, 6, 15, 23, 39, 181, 386, 3389, 62656, ...
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LINKS
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EXAMPLE
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k=0.7642236535892206629906987... = 0 + 1/(1 + 1/(3 + 1/(4 + 1/(6 + ...)))). - Harry J. Smith, Apr 23 2009
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MATHEMATICA
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LandauRamanujan[n_] := N[Product[ ((1 - 2^(-2^k)) 4^(2^k) Zeta[2^k]/(Zeta[2^k, 1/4] - Zeta[2^k, 3/4]))^(2^(-k-1)), {k, n}]/Sqrt@2, 2^7]; ContinuedFraction@LandauRamanujan@8
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CROSSREFS
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KEYWORD
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cofr,nonn
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AUTHOR
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STATUS
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approved
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