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%I #11 Apr 22 2024 07:33:34
%S 1,24,2880,1036800,870912000,1463132160000,4424511651840000,
%T 22299538725273600000,176612346704166912000000,
%U 2098154678845502914560000000,36004334288988830013849600000000
%N Fifth column (m=4) of triangle A090441.
%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.
%F a(n) = (n+3)!*(n+2)!*(n+1)!*n!/12, n>=0. 12=A000178(3) (superfactorial).
%o (PARI) a(n) = (n+3)!*(n+2)!*(n+1)!*n!/12; \\ _Michel Marcus_, Feb 12 2019
%o (Python)
%o from math import factorial
%o def A090444(n): return factorial(n)**4*(n+3)*(n+2)**2*(n+1)**3//12 # _Chai Wah Wu_, Apr 22 2024
%Y Cf. A090441.
%K nonn,easy,changed
%O 0,2
%A _Wolfdieter Lang_, Dec 23 2003
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