A333271 - OEIS

%I #14 Mar 15 2020 02:44:37

%S 1,1,2,3,2,1,1,2,4,6,9,10,11,10,9,6,4,2,1,1,2,4,8,12,18,27,36,45,54,

%T 60,66,69,66,60,54,45,36,27,18,12,8,4,2,1

%N Irregular triangle read by rows: coefficients of the s-inflated Eulerian polynomial Q^(s)_n(x) where s is the sequence (1,3,5,...,2n-1).

%H Thomas W. Pensyl and Carla D. Savage, <a href="https://people.engr.ncsu.edu/savage/PAPERS/rational.pdf">Rational lecture hall polytopes and inflated Eulerian polynomials</a>, preprint 2011.

%e Triangle begins:

%e   1;

%e   1, 2, 3, 2, 1;

%e   1, 2, 4, 6, 9, 10, 11, 10, 9, 6, 4, 2, 1;

%e   1, 2, 4, 8, 12, 18, 27, 36, 45, 54, 60, 66, 69, 66, 60, 54, 45, 36, 27, 18, 12, 8, 4, 2, 1;

%e   ...

%Y Cf. A333270, A333272.

%K nonn,tabf,more

%O 1,3

%A _N. J. A. Sloane_, Mar 14 2020