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A343308
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Decimal expansion of 1/zeta(5).
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6
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9, 6, 4, 3, 8, 7, 3, 4, 0, 4, 2, 9, 2, 6, 2, 4, 5, 9, 1, 2, 6, 4, 3, 6, 5, 8, 8, 4, 4, 4, 9, 8, 4, 5, 7, 1, 2, 3, 7, 6, 5, 0, 4, 6, 1, 3, 5, 1, 6, 4, 0, 2, 1, 8, 8, 5, 0, 6, 0, 9, 1, 1, 2, 1, 4, 8, 3, 3, 9, 0, 3, 4, 9, 0, 0, 2, 5, 5, 5, 1, 0, 6, 9, 6, 9, 5, 0, 5, 1, 8, 3, 2, 3, 2, 9, 2, 3, 4, 6, 9, 2, 5, 6, 1, 8
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OFFSET
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0,1
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COMMENTS
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Decimal expansion of 1/zeta(5), the inverse of A013663.
The Riemann zeta(5) function has no known closed-form formula. It is not known if this value is irrational, let alone transcendental.
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LINKS
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FORMULA
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Equals Product_{p prime} (1 - 1/p^5). - Amiram Eldar, Jun 01 2023
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EXAMPLE
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0.9643873404292624591264365884449845712376504613516...
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MATHEMATICA
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RealDigits[1/Zeta[5], 10, 100][[1]] (* Amiram Eldar, Apr 11 2021 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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