A362553 Gale CGF's: The number of basic cyclotomic generating functions of degree n with numerator multiset bigger than denominator multiset in the Gale partial order.

1, 1, 3, 4, 10, 12, 27, 33, 68, 82, 154, 187, 346, 410, 714, 857, 1460, 1722, 2860, 3378, 5501

Offset: 0

Author

Sara Billey, Apr 24 2023

Keywords

• nonn
• more

Comments

A basic cyclotomic generating function is a polynomial with nonnegative integer coefficients that is a product of cyclotomic polynomials, or equivalently a rational expression in q-integers indexed by disjoint numerator and denominator multisets.

Links

• S. Billey and J. Swanson, Cyclotomic Generating Functions, arXiv:2305.07620 [math.CO], 2023