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A108778
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Continued fraction expansion of the Madelung constant for the NaCl structure (A085469).
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2
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1, 1, 2, 1, 24, 1, 10, 1, 1, 52, 1, 8, 1, 1, 1, 4, 2, 27, 2, 3, 1, 4, 1, 1, 1, 4, 2, 2, 1, 3, 1, 2, 1, 2, 1, 1, 3, 1, 51, 1, 4, 3, 3, 4, 1, 2, 1, 14, 1, 1, 1, 1, 1, 4, 7, 1, 3, 38, 4, 1, 2, 1, 2, 1, 1, 1, 6, 4, 5, 1, 14, 2, 18, 1, 10, 2, 5, 2, 2, 2, 9, 1, 4, 1, 23, 1, 2, 1, 2, 3, 132, 343, 2, 1, 1, 4, 3, 2
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OFFSET
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1,3
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COMMENTS
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Increasing PQ's: 1, 2, 24, 52, 132, 343, 664, 1329, 2136, ....
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 1..1794
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EXAMPLE
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1.7475645946331821906362... = 1 + 1/(1 + 1/(2 + 1/(1 + 1/(24 + ...)))). - Harry J. Smith, Apr 23 2009
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MATHEMATICA
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ContinuedFraction[ 12Pi*Sum[ Sech[ Pi/2*Sqrt[(2j + 1)^2 + (2k + 1)^2]]^2, {j, 0, 36}, {k, 0, 36}], 98]
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CROSSREFS
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Cf. A085469.
Sequence in context: A059360 A279308 A345262 * A271530 A062763 A243147
Adjacent sequences: A108775 A108776 A108777 * A108779 A108780 A108781
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KEYWORD
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cofr,nonn
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AUTHOR
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Robert G. Wilson v, Jul 18 2005
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EXTENSIONS
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Definition corrected by Leslie Glasser, Jan 24 2011
Definition corrected by Andrey Zabolotskiy, Jul 30 2020
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STATUS
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approved
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