OFFSET
1,2
COMMENTS
A more intuitive version of A344141.
Every term other than the first is a member of A129771.
In A057496 it is stated that if x^n + x^3 + x^2 + x + 1 is irreducible, then so is x^n + x^3 + 1. It follows that no term can be equal to 15.
It is conjectured that no term can be of the form P_m(2^k), where P_m(x) = Product_{i>=0} (1 + x^(2^(d_i)))^(c_i) if the binary representation of m is m = Sum_{i>=0} c_i * 2^(d_i), k is an odd number. See my conjecture in A344177.
LINKS
Jianing Song, Table of n, a(n) for n = 1..1000
EXAMPLE
See A344141.
PROG
(PARI) A344185(n) = for(k=0, 2^n-1, if(polisirreducible(Mod(Pol(binary(2^n+k)), 2)), return(k)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Jianing Song, May 11 2021
STATUS
approved