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

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

Offset: 0

Author

Wolfdieter Lang, Dec 23 2003

Keywords

• nonn
• easy

Links

• 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.

Crossrefs

Cf. A090441.

Programs

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

Formula

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