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Search: id:A006089
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| A006089 |
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Coefficients of elliptic function cn.
(Formerly M5026)
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+0
1
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| 16, 912, 30768, 870640, 22945056, 586629984, 14804306080, 371548371744, 9303419165040, 232733558500720, 5819812891661136, 145509858586733712, 3637888729721421568
(list; graph; listen)
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OFFSET
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2,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math.Series 55, Tenth Printing, 1972, p. 575, Eq. 16.22.1 and 16.22.2.
G. Viennot, Une interpretation combinatoire des coefficients des developpements en serie entiere des fonctions elliptiques de Jacobi, J. Combin. Theory, A 29 (1980), 121-133.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math.Series 55, Tenth Printing, 1972, p. 575, Eq. 16.22.1 and 16.22.2.
A. Cayley, An Elementary Treatise on Elliptic Functions (page images), G. Bell and Sons, London, 1895, p. 56.
J. Tannery and J. Molk, El\'{e}ments de la Th\'{e}orie des Fonctions Elliptiques (Vol. 4), Gauthier-Villars, Paris, 1902, p. 92.
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CROSSREFS
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Sequence in context: A159872 A166187 A145243 this_sequence A024301 A160012 A070307
Adjacent sequences: A006086 A006087 A006088 this_sequence A006090 A006091 A006092
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Paolo Dominici (pl.dm(AT)libero.it) using formulae 16.22.1 and 16.22.2 of Abramowitz and Stegun's Handbook of Mathematical Functions.
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