login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Indices of perfect polynomials over GF(2).
2

%I #26 Oct 28 2019 16:19:19

%S 1,6,36,54,120,2470,2640,3144,3780,32640,41280,52632,67184,1098176,

%T 1157904,2147450880

%N Indices of perfect polynomials over GF(2).

%C Numbers k such that k = A178908(k); sum of divisors of k-th GF(2) polynomial is the polynomial itself.

%C a(17) > 5*10^9. - _Amiram Eldar_, Oct 28 2019

%o (PARI) isok(n) = my(s = vecsum(divisors(Mod(1,2)*Pol(binary(n))))); subst(lift(s), x, 2) == n; \\ _Michel Marcus_, Jan 13 2019

%Y Cf. A178908, A091220, A000396, A178911.

%K nonn,more

%O 1,2

%A _Franklin T. Adams-Watters_, Jun 22 2010

%E a(14)-a(15) from _Amiram Eldar_, Jan 13 2019

%E a(16) from _Amiram Eldar_, Oct 28 2019