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A334445
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Decimal expansion of Product_{k>=1} (1 + 1/A002144(k)^4).
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7
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1, 0, 0, 1, 6, 4, 9, 6, 6, 4, 0, 3, 3, 0, 0, 0, 4, 2, 5, 3, 7, 8, 5, 7, 8, 0, 7, 1, 9, 2, 9, 3, 9, 0, 8, 8, 8, 2, 7, 3, 9, 8, 4, 4, 0, 4, 3, 8, 6, 6, 9, 9, 3, 0, 0, 0, 8, 9, 8, 3, 7, 4, 0, 9, 6, 6, 7, 9, 2, 0, 4, 8, 0, 8, 2, 3, 6, 3, 4, 3, 4, 4, 1, 9, 2, 9, 8, 6, 5, 3, 3, 1, 1, 7, 8, 9, 9, 7, 0, 6, 1, 5, 7, 0, 9
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OFFSET
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1,5
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COMMENTS
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In general, for s>1, Product_{k>=1} (1 + 1/A002144(k)^s)/(1 - 1/A002144(k)^s) = (zeta(s, 1/4) - zeta(s, 3/4)) * zeta(s) / (2^s * (2^s + 1) * zeta(2*s)).
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REFERENCES
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B. C. Berndt, Ramanujan's notebook part IV, Springer-Verlag, 1994, p. 64-65.
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LINKS
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FORMULA
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EXAMPLE
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1.001649664033000425378578071929390888273984404386699300089837...
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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