Vrijeme: 23:16

From Serbia, with love #2

Koliko ukupno postoji polinoma oblika xⁿ ± xⁿ⁻¹ ± xⁿ⁻² ± ... ± x ± 1 čiji su svi korijeni isključivo realni brojevi?
How many polynomials of the form xⁿ ± xⁿ⁻¹ ± xⁿ⁻² ± ... ± x ± 1 are there in total whose roots are exclusively real numbers?