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A234750 Blue-code restricted to irreducible polynomials over GF(2): a(n) = A193231(A014580(n)).

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%I A234750 #17 Apr 29 2021 04:10:27
%S A234750 3,2,7,13,11,19,31,25,55,61,59,37,47,41,87,91,67,73,103,97,109,117,
%T A234750 115,253,241,247,239,229,203,193,211,213,171,167,185,191,157,145,137,
%U A234750 143,131,285,283,319,313,301,299,351,333,357,355,361,375,369,379,505,499,501
%N A234750 Blue-code restricted to irreducible polynomials over GF(2): a(n) = A193231(A014580(n)).
%C A234750 The polynomials are encoded as the number whose binary representation is given by the coefficients of the polynomial, e.g., 13 = 2^3 + 2^2 + 2^0 = 1101_2 encodes 1*X^3 + 1*X^2 + 0*X^1 + 1*X^0 = X^3 + X^2 + 1. - _Peter Munn_, Apr 28 2021
%H A234750 Antti Karttunen, <a href="/A234750/b234750.txt">Table of n, a(n) for n = 1..2538</a>
%H A234750 <a href="/index/Ge#GF2X">Index entries for sequences operating on (or containing) GF(2)[X]-polynomials</a>
%F A234750 a(n) = A193231(A014580(n)).
%e A234750 From _Peter Munn_, Apr 23 2021: (Start)
%e A234750 Table for polynomials of degree less than 6:
%e A234750    n   A014580   a(n)   Previous 2 columns
%e A234750           (n)               in binary
%e A234750    1       2       3         10       11
%e A234750    2       3       2         11       10
%e A234750    3       7       7        111      111
%e A234750    4      11      13       1011     1101
%e A234750    5      13      11       1101     1011
%e A234750    6      19      19      10011    10011
%e A234750    7      25      31      11001    11111
%e A234750    8      31      25      11111    11001
%e A234750    9      37      55     100101   110111
%e A234750   10      41      61     101001   111101
%e A234750   11      47      59     101111   111011
%e A234750   12      55      37     110111   100101
%e A234750   13      59      47     111011   101111
%e A234750   14      61      41     111101   101001
%e A234750 (End)
%o A234750 (Scheme) (define (A234750 n) (A193231 (A014580 n)))
%Y A234750 Cf. A234751, A193231, A014580.
%K A234750 nonn,base
%O A234750 1,1
%A A234750 _Antti Karttunen_, Feb 12 2014