Notamathematician
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Member for 3 years, 7 months
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Generalized harmonic numbers and Riemann zeta function
WolframAlpha gives $\frac{1}{2}(\zeta(k)^2 + \zeta(2k))$ for general case.
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Generalized harmonic numbers and Riemann zeta function
See also A348829 (difference between numerator and denominator).
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Generalized harmonic numbers and Riemann zeta function
You can mention A348830.
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Generalized harmonic numbers and Riemann zeta function
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Slightly modified program for the A345253 such that specific partial sums equal A066258
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Closed-form for the number of partitions of $n$ avoiding the partition $(4,3,1)$
@FabiusWiesner, thank you for comment! Typo was corrected.
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Closed-form for the number of partitions of $n$ avoiding the partition $(4,3,1)$
@AndreaMarino, thank you for comment! My conjecture is based on attempts to obtain a simple closed form for ordinary partitions. I was trying to find a pattern in the indexes of partitions in the composition table. In an attempt to generate them recursively, I came up with one model that gave me values in the form of a triangle. So it might be called empirical evidence only.