A010834 Expansion of Product_{k>=1} (1-x^k)^29.

1, -29, 377, -2842, 13195, -34684, 19285, 206973, -745706, 782275, 1621564, -5803161, 4026360, 8149841, -12056025, -7428263, 254504, 69194580, -49156653, -167517050, 224634319, 94868280, -112333182, -288914501, -172722550, 1061590530, -420678727, -212254364

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

References

• Newman, Morris; A table of the coefficients of the powers of eta(tau). Nederl. Akad. Wetensch. Proc. Ser. A. 59 = Indag. Math. 18 (1956), 204-216.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000
• M. Boylan, Exceptional congruences for the coefficients of certain eta-product newforms, J. Number Theory 98 (2003), no. 2, 377-389.
• Index entries for expansions of Product_{k >= 1} (1-x^k)^m

Crossrefs

Column k=29 of A286354.

Cf. A000203.

Formula

a(0) = 1, a(n) = -(29/n) * Sum_{k=1..n} A000203(k)*a(n-k) for n > 0. - Seiichi Manyama, Aug 13 2023