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A014580 Binary irreducible polynomials (primes in ring GF(2)[ X ]), evaluated at X=2. +0
32
2, 3, 7, 11, 13, 19, 25, 31, 37, 41, 47, 55, 59, 61, 67, 73, 87, 91, 97, 103, 109, 115, 117, 131, 137, 143, 145, 157, 167, 171, 185, 191, 193, 203, 211, 213, 229, 239, 241, 247, 253, 283, 285, 299, 301, 313, 319, 333, 351, 355, 357, 361, 369, 375 (list; graph; listen)
OFFSET

1,1

COMMENT

Or, binary irreducible polynomials, interpreted as binary vectors, then written in base 10.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1377 (through degree 13)

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

EXAMPLE

x^4 + x^3 + 1 -> 16+8+1 = 25. Or, x^4 + x^3 + 1 -> 11001 (binary) = 25 (decimal).

CROSSREFS

Cf. A000031, A001037, A048720. Written in binary: A058943.

Characteristic function: A091225. Inverse: A091227. a(n) = A091202(A000040(n)). Almost complement of A091242. Union of A091206 & A091214 and also of A091250 & A091252. First differences: A091223. Apart from a(2)=3, a subset of A000069.

Sequence in context: A145673 A040116 A155153 this_sequence A091206 A038963 A167609

Adjacent sequences: A014577 A014578 A014579 this_sequence A014581 A014582 A014583

KEYWORD

nonn

AUTHOR

petry(AT)accessone.com (David Petry)

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Last modified December 6 13:45 EST 2009. Contains 170429 sequences.


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