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Search: id:A059912
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| A059912 |
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Triangle T(n,k) of orders of n degree irreducible polynomials over GF(2) listed in ascending order, k=1..A059499(n). |
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2
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| 1, 3, 7, 5, 15, 31, 9, 21, 63, 127, 17, 51, 85, 255, 73, 511, 11, 33, 93, 341, 1023, 23, 89, 2047, 13, 35, 39, 45, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095, 8191, 43, 129, 381, 5461, 16383, 151, 217, 1057, 4681, 32767
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Polynomial order: computes the order of an irreducible polynomial over a finite field GF(p).
Eric Weisstein's World of Mathematics, Irreducible Polynomial
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EXAMPLE
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[1], [3], [7], [5, 15], [31], [9, 21, 63], [127], [17, 51, 85, 255], [73, 511], [11, 33, 93, 341, 1023], ... There are 18 (cf. A001037) irreducible polynomials of degree 7 over GF(2) which all have order 127.
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CROSSREFS
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Cf. A058943, A059478, A059499, A001037, A059913-A059916.
Sequence in context: A065283 A090940 A090916 this_sequence A115765 A112071 A046561
Adjacent sequences: A059909 A059910 A059911 this_sequence A059913 A059914 A059915
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 09 2001
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