Harmonic Expansion
المؤلف:
Sloane, N. J. A.
المصدر:
Sequences A054977, A075874, and A096622 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
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4-5-2020
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Harmonic Expansion
A harmonic series is a continued fraction-like series ![[n;a,b,c,...]](https://mathworld.wolfram.com/images/equations/HarmonicExpansion/Inline1.gif)
defined by
(Havil 2003, p. 99).
Examples are given in the following table.
 |
OEIS |
harmonic expansion |
 |
A054977 |
[2, 1, 1, 1, 1, 1, 1, ...] |
 |
A096622 |
[0, 1, 0, 1, 4, 1, 4, ...] |
 |
A075874 |
[3, 0, 0, 3, 1, 5, 6, 5, ...] |
REFERENCES:
Havil, J. "Harmonic Expansion." §11.8 in Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, pp. 98-100, 2003.
Sloane, N. J. A. Sequences A054977, A075874, and A096622 in "The On-Line Encyclopedia of Integer Sequences."
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