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

3, 2, 7, 13, 11, 19, 31, 25, 55, 61, 59, 37, 47, 41, 87, 91, 67, 73, 103, 97, 109, 117, 115, 253, 241, 247, 239, 229, 203, 193, 211, 213, 171, 167, 185, 191, 157, 145, 137, 143, 131, 285, 283, 319, 313, 301, 299, 351, 333, 357, 355, 361, 375, 369, 379, 505, 499, 501

Offset: 1

Author

Antti Karttunen, Feb 12 2014

Keywords

• nonn
• base

Comments

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

Examples

			From _Peter Munn_, Apr 23 2021: (Start)
Table for polynomials of degree less than 6:
   n   A014580   a(n)   Previous 2 columns
          (n)               in binary
   1       2       3         10       11
   2       3       2         11       10
   3       7       7        111      111
   4      11      13       1011     1101
   5      13      11       1101     1011
   6      19      19      10011    10011
   7      25      31      11001    11111
   8      31      25      11111    11001
   9      37      55     100101   110111
  10      41      61     101001   111101
  11      47      59     101111   111011
  12      55      37     110111   100101
  13      59      47     111011   101111
  14      61      41     111101   101001
(End)
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2538
• Index entries for sequences operating on (or containing) GF(2)[X]-polynomials

Crossrefs

Cf. A234751, A193231, A014580.

Programs

Scheme

(define (A234750 n) (A193231 (A014580 n)))

Formula

a(n) = A193231(A014580(n)).