A362554 The number of generators for the Gale submonoid of basic cyclotomic generating functions of degree n with numerator multiset bigger than denominator multiset in Gale order.

1, 2, 1, 3, 1, 4, 1, 6, 1, 5, 1, 14, 2, 9, 4, 28, 1, 33, 14, 61

Offset: 1

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