id:A128901 - OEIS Search Results

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Number of degree n polynomials over GF(2) (with non-zero constant term) at Hamming distance 1 from some irreducible polynomial.

+0
1

0, 1, 2, 4, 8, 16, 32, 63, 128, 255, 510, 1020, 2032, 4048, 8109, 16216, 32434, 64731, 129597, 258718, 517424, 1034430, 2067780, 4132038, 8262934, 16515320, 33021972, 66029987, 132008983, 263944002, 527772375, 1055126462 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`G. Lee, F. Ruskey and A. Williams, Hamming distance from irreducible polynomials over GF(2)`
	EXAMPLE	`The coefficient vectors of the two degree 3 irreducible polynomials are 1011 and 1101. They are at distance one from the two polynomials 1001 and 1111; thus a(3) = \|{1001,1111}\| = 2.`
	CROSSREFS	`Sequence in context: A001592 A140134 A049886 this_sequence A025489 A036140 A036138` `Adjacent sequences: A128898 A128899 A128900 this_sequence A128902 A128903 A128904`
	KEYWORD	`nonn`
	AUTHOR	`Frank Ruskey (ruskey(AT)cs.uvic.ca), Apr 22 2007`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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