A090444 Fifth column (m=4) of triangle A090441.

1, 24, 2880, 1036800, 870912000, 1463132160000, 4424511651840000, 22299538725273600000, 176612346704166912000000, 2098154678845502914560000000, 36004334288988830013849600000000

Offset

0,2

Links

Table of n, a(n) for n=0..10.

J. Agapito, On symmetric polynomials with only real zeros and nonnegative gamma-vectors, Linear Algebra and its Applications, Volume 451, 15 June 2014, Pages 260-289.

Formula

a(n) = (n+3)!*(n+2)!*(n+1)!*n!/12, n>=0. 12=A000178(3) (superfactorial).

Prog

(PARI) a(n) = (n+3)!*(n+2)!*(n+1)!*n!/12; \\ Michel Marcus, Feb 12 2019
(Python)
from math import factorial
def A090444(n): return factorial(n)**4*(n+3)*(n+2)**2*(n+1)**3//12 # Chai Wah Wu, Apr 22 2024

Crossrefs

Cf. A090441.

Sequence in context: A266870 A277003 A060902 * A205795 A222852 A189246

Adjacent sequences: A090441 A090442 A090443 * A090445 A090446 A090447

Keyword

nonn,easy,changed

Author

Wolfdieter Lang, Dec 23 2003

Status

approved