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A001490 Expand {Product_{j=1..inf} (1-x^j) - 1 }^12 in powers of x.
(Formerly M4845 N2071)
1
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; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

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.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

FORMULA

G.f.: (eta(z)*eta(6*z)/(eta(2*z)*eta(3*z)))^12.

CROSSREFS

Sequence in context: A074359 A104062 A003868 * A010928 A080559 A045853

Adjacent sequences:  A001487 A001488 A001489 * A001491 A001492 A001493

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.