A247641 G.f.: ((1+q)/(1-q))*q*Product_{k>=1} (1 - q^k)^2*(1 - q^(11*k))^2.

0, 1, 0, -3, -2, 1, 4, 4, 2, 0, -4, -5, -6, -4, 4, 7, 2, -4, -2, 2, 4, 8, 8, 5, 4, 0, -12, -15, -14, -18, -16, -7, 8, 15, 18, 20, 14, 13, 16, 12, 8, 0, -12, -22, -26, -26, -26, -16, -4, -3, 2, 12, 22, 24, 8, -1, 0, 0, 0, 5, 8, 18, 16, 6, 2, -2, 4, -1, -12, -15, -10, -9, -12, -8, -10, -12, -8, -10

Offset

0,4

Comments

This was presumably intended to be A006571, but the published g.f. contains a misprint - namely, the first (1-q^2) on page 1058 of the review should be (1-q)^2.

Links

Table of n, a(n) for n=0..77.

A. W. Knapp, Review of "Love and Math: The Heart of Hidden Reality" by E. Frenkel, Notices Amer. Math. Soc., 61 (2014), pp. 1056-1060; see p. 1058.

Prog

(PARI) m = 50; concat(0, Vec(((1+q)/(1-q))*q*prod(k=1, m, (1 - q^k)^2*(1 - q^(11*k))^2) + O(q^m))) \\ Michel Marcus, Oct 13 2017

Crossrefs

Cf. A006571.

Sequence in context: A299352 A127671 A271724 * A336886 A261876 A272336

Adjacent sequences: A247638 A247639 A247640 * A247642 A247643 A247644

Keyword

sign

Author

N. J. A. Sloane, Sep 22 2014

Status

approved