OFFSET
1,2
LINKS
Ivan Neretin, Table of n, a(n) for n = 1..10000
FORMULA
Conjectured g.f.: (-1-x^14+3*x^13-4*x^12+3*x^11-x^10+x^7-x^6-x^2+x)/((x^2+1)*(x^4+1)*(x-1)^3). - Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009, confirmed by Robert Israel, May 06 2018
EXAMPLE
For n=1, the 4th elementary symmetric function of (3,4,5,6) is 3*4*5*6 = 360, and the 3rd elementary symmetric function of (3,4,5,6) is 3*4*5 + 3*4*6 + 3*5*6 + 4*5*6 = 342. So 360/342 = 1.0526..., and a(1) = 1. - Michael B. Porter, May 05 2018
MAPLE
seq(floor(1/120* x* (53848 + 26922 *x + 5165 *x^2 + 450* x^3 + 15* x^4)/(8 + x)/(60 + 15* x + x^2)), x=1..50); # Robert Israel, May 06 2018
MATHEMATICA
Table[Floor[1/120 x (53848 + 26922 x + 5165 x^2 + 450 x^3 + 15 x^4)/(8 + x)/(60 + 15 x + x^2)], {x, 42}] (* Ivan Neretin, May 02 2018 *)
PROG
(Python)
import math
print([math.floor(x*(53848+26922*x+5165*x**2+450*x**3+15*x**4)/(120*(8+x)*(60+15*x+x**2))) for x in range(1, 28)]) # Paul Muljadi, Apr 03 2024
(Julia)
print([floor(x*(53848+26922*x+5165*x^2+450*x^3+15*x^4)รท(120*(8+x)*(60+15*x+x^2))) for x in 1:28]) # Paul Muljadi, Apr 04 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved