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Search: id:A001937
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| A001937 |
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Coefficients of an elliptic function.
(Formerly M2785 N1120)
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+0
1
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| 1, 3, 9, 22, 48, 99, 194, 363, 657, 1155, 1977, 3312, 5443, 8787, 13968, 21894, 33873, 51795, 78345, 117312, 174033, 255945, 373353, 540486, 776848, 1109040, 1573209, 2218198, 3109713, 4335840, 6014123, 8300811, 11402928, 15593702, 21232521
(list; graph; listen)
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OFFSET
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0,2
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
A. Cayley, A memoir on the transformation of elliptic functions, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 9, p. 128.
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FORMULA
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G.f.: Product ( 1 - x^k )^(-c(k)); c(k) = 3, 3, 3, 0, 3, 3, 3, 0, ....
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MATHEMATICA
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CoefficientList[ Series[Product[(1 - x^k)^(-3*Boole[Mod[k, 4] != 0]), {k, 1, 101}], {x, 0, 100}], x] [From Olivier GERARD (olivier.gerard(AT)gmail.com), May 06 2009]
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CROSSREFS
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Cf. A001936, A079006, A001935, A083365, A001938, A093160, A001939, A001940, A001941. [From Olivier GERARD (olivier.gerard(AT)gmail.com), May 06 2009]
Sequence in context: A131477 A002128 A064808 this_sequence A086817 A000715 A034505
Adjacent sequences: A001934 A001935 A001936 this_sequence A001938 A001939 A001940
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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Corrected and extended by Simon Plouffe (simon.plouffe(AT)gmail.com)
Checked and more terms from Olivier GERARD (olivier.gerard(AT)gmail.com), May 06 2009
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