A361439 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A361439

The number of generators for the monoid of basic log-concave (with no internal zeros) cyclotomic generating functions of degree n.

1, 1, 1, 1, 1, 2, 2, 4, 4, 7, 8, 18, 19, 37, 42, 66, 87, 132, 157, 252

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

COMMENTS

A 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.

REFERENCES

Sara Billey and J. Swanson, Cyclotomic Generating Functions, manuscript.

LINKS

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

CROSSREFS

Sequence in context: A151532 A056503 A256217 * A055636 A206559 A143419

Adjacent sequences: A361436 A361437 A361438 * A361440 A361441 A361442

KEYWORD

nonn,more

AUTHOR

Sara Billey, Mar 12 2023

STATUS

approved