A006665 G.f.: { ( Product_{j=1..infinity} (1-x^j) - 1 )/x }^24.

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

• H. Gupta, On the coefficients of the powers of Dedekind's modular form, J. London Math. Soc., 39 (1964), 433-440.
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• H. Gupta, On the coefficients of the powers of Dedekind's modular form (annotated and scanned copy)

Programs

Maple

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

PARI

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

Extensions

Entry revised Sep 11 2004