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Triangle read by rows: coefficients of the polynomials A_{2,4}(n,k).
6

%I #8 Feb 12 2019 09:15:22

%S 1,0,1,0,3,8,3,0,1,8,15,8,1,0,1,16,70,112,70,16,1,0,3,80,630,2016,

%T 2940,2016,630,80,3,0,1,40,495,2640,6930,9504,6930,2640,495,40,1

%N Triangle read by rows: coefficients of the polynomials A_{2,4}(n,k).

%H J. Agapito, <a href="https://dx.doi.org/10.1016/j.laa.2014.03.018">On symmetric polynomials with only real zeros and nonnegative gamma-vectors</a>, Linear Algebra and its Applications, Volume 451, 15 June 2014, Pages 260-289.

%e Triangle begins:

%e 1,

%e 0,1,

%e 0,3,8,3,

%e 0,1,8,15,8,1,

%e 0,1,16,70,112,70,16,1,

%e 0,3,80,630,2016,2940,2016,630,80,3,

%e 0,1,40,495,2640,6930,9504,6930,2640,495,40,1,

%e ...

%Y Cf. A245167, A245168, A245169, A245170, A245172, A245173.

%K nonn,tabf,more

%O 0,5

%A _N. J. A. Sloane_, Jul 13 2014