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

1,1

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

Links

Antti Karttunen, Table of n, a(n) for n = 1..2538

Index entries for sequences operating on (or containing) GF(2)[X]-polynomials

Formula

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

Example

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)

Prog

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

Crossrefs

Cf. A234751, A193231, A014580.

Sequence in context: A255919 A212189 A114647 * A052546 A260016 A320769

Adjacent sequences: A234747 A234748 A234749 * A234751 A234752 A234753

Keyword

nonn,base

Author

Antti Karttunen, Feb 12 2014

Status

approved