TY - JOUR AB - Based on the evaluation at t = −1 of the generating polynomial for the hyperoctahedral group by the number of descents, an observation recently made by Hirzebruch, a new q-secant number is derived by working with the Chow-Gessel q-polynomial involving the flag major index. Using the doubloon combinatorial model we show that this new q-secant number is a polynomial with positive integral coefficients, a property apparently hard to prove by analytical methods. AU - Foata, Dominique AU - Foata, D. AU - Han, Guo-Niu AU - Han, Guoniu DA - 2010 LA - eng IS - Münster Journal of Mathematics M2 - 89 PY - 2010 SP - 89-110 T2 - Münster Journal of Mathematics TI - Doubloons and q-secant numbers UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-16409480239 Y2 - 2024-10-25T13:26:48 ER -