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

%I #14 Mar 15 2020 02:45:18

%S 1,1,2,1,1,2,4,4,4,2,1,1,2,4,8,11,14,16,14,11,8,4,2,1

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

%D Pensyl, Thomas W., and Carla D. Savage. "Rational lecture hall polytopes and inflated Eulerian polynomials." The Ramanujan Journal 31.1-2 (2013): 97-114.

%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, 1;

%e 1, 2, 4, 4, 4, 2, 1;

%e 1, 2, 4, 8, 11, 14, 16, 14, 11, 8, 4, 2, 1;

%e ...

%Y Cf. A333271, A333272.

%K nonn,tabf,more

%O 1,3

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