A378064 a(n) = 5*n^4 - 6*n^2 + 1. Column 4 of A378066.

1, 0, 57, 352, 1185, 2976, 6265, 11712, 20097, 32320, 49401, 72480, 102817, 141792, 190905, 251776, 326145, 415872, 522937, 649440, 797601, 969760, 1168377, 1396032, 1655425, 1949376, 2280825, 2652832, 3068577, 3531360, 4044601, 4611840, 5236737, 5923072

Offset: 0

Author

Peter Luschny, Nov 17 2024

Keywords

• nonn

Crossrefs

Cf. A378066.

Programs

Maple

seq(5*n^4 - 6*n^2 + 1, n = 0..33);

Python

def A378064(n): return (m:=n**2)*(5*m-6)+1 # Chai Wah Wu, Nov 18 2024

Formula

a(n) = [x^n] (-57*x^3 - 67*x^2 + 5*x - 1)/(x - 1)^5.