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A001940 Absolute value of coefficients of an elliptic function.
(Formerly M4173 N1737)
+0
2
1, 6, 27, 98, 309, 882, 2330, 5784, 13644, 30826, 67107, 141444, 289746, 578646, 1129527, 2159774, 4052721, 7474806, 13569463, 24274716, 42838245, 74644794 (list; graph; listen)
OFFSET

0,2

REFERENCES

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.

FORMULA

G.f.: Product ( 1 - x^k )^(-c(k)), c(k) = 6, 6, 6, 0, 6, 6, 6, 0, ....

CROSSREFS

Sequence in context: A038166 A121596 A136747 this_sequence A121591 A071734 A023005

Adjacent sequences: A001937 A001938 A001939 this_sequence A001941 A001942 A001943

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

EXTENSIONS

extended and corrected by Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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