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Search: id:A001490
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| A001490 |
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Expand {Product_{j=1..inf} (1-x^j) - 1 }^12 in powers of x.
(Formerly M4845 N2071)
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+0
2
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| 1, -12, 66, -220, 483, -660, 252, 1320, -4059, 6644, -6336, 240, 12255, -27192, 35850, -27972, -2343, 50568, -99286, 122496, -96162, 11584, 115116, -242616, 315216, -283800, 128304, 126280, -409398, 622644, -671550, 501468, -122508, -382360
(list; graph; listen)
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OFFSET
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1,2
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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).
H. Gupta, On the coefficients of the powers of Dedekind's modular form, J. London Math. Soc., 39 (1964), 433-440.
M. Kontsevich and D. Zagier, Periods, pp. 771-808 of B. Engquist and W. Schmid, editors, Mathematics Unlimited - 2001 and Beyond, 2 vols., Springer-Verlag, 2001.
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FORMULA
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G.f.: (eta(z)*eta(6*z)/(eta(2*z)*eta(3*z)))^12.
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CROSSREFS
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Sequence in context: A074359 A104062 A003868 this_sequence A010928 A080559 A045853
Adjacent sequences: A001487 A001488 A001489 this_sequence A001491 A001492 A001493
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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