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A006665 G.f.: { ( Product_{j=1..inf} (1-x^j) - 1 )/x }^24.
(Formerly M5156)
+0
5
1, 24, 276, 2024, 10602, 41952, 128500, 303048, 517155, 463496, -609684, -3757992, -9340852, -14912280, -12957624, 8669712, 59707149, 132295080, 183499244, 131501856, -113698752, -575221744, -1111921752, -1363192680, -824406065, 889513752, 3638565960, 6404250248 (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).

H. Gupta, On the coefficients of the powers of Dedekind's modular form, J. London Math. Soc., 39 (1964), 433-440.

MAPLE

t1:=mul(1-x^j, j=1..60); t2:=series(t1-1, x, 60); t3:=series((t2/x)^24, x, 60); seriestolist(%);

PROGRAM

(PARI) a(n)=if(n<0, 0, polcoeff(((eta(x+x^2*O(x^n))-1)/x)^24, n))

CROSSREFS

Sequence in context: A022065 A125412 A000915 this_sequence A010940 A045854 A014809

Adjacent sequences: A006662 A006663 A006664 this_sequence A006666 A006667 A006668

KEYWORD

sign

AUTHOR

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

EXTENSIONS

Entry revised Sep 11 2004

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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