Main SMS (2005)
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, where
is Riemann zeta function.
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, where
is Riemann zeta function.
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(This series can be used to compute directly the n-th digit of ln(2) in base 6561 without computing any prior digits)
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(This series can be used to compute directly the n-th digit of ln(3) in base 256 without computing any prior digits)
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For each positive integer n,
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For each positive integer n,
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A strange sum (Update Nov 02, 2008)
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The above nth partial sum gives three possible answers: 0, 1 or 1/2 in which its result depends on the starting value of the index k that is a key path to make this sum deterministic.
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Number is the within of all things. (Pythagoras)