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

1,2

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

Table of n, a(n) for n=1..20.

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

Crossrefs

Sequence in context: A361026 A319698 A096234 * A361441 A340088 A087114

Adjacent sequences: A362551 A362552 A362553 * A362555 A362556 A362557

Keyword

nonn,more

Author

Sara Billey, Apr 24 2023

Status

approved