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Search: id:A042982
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| A042982 |
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Number of degree-n irreducible polynomials over GF(2) with trace = 1 and subtrace = 1. |
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+0
7
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| 0, 1, 0, 1, 2, 2, 5, 8, 13, 27, 45, 85, 160, 288, 550, 1024, 1920, 3654, 6885, 13107, 24989, 47616, 91225, 174760, 335462, 645435, 1242600, 2396745, 4628480, 8947294, 17318945, 33554432
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OFFSET
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1,5
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REFERENCES
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K. Cattell, C.R. Miers, F. Ruskey, J. Sawada and M. Serra, "The Number of Irreducible Polynomials over GF(2) with Given Trace and Subtrace", J. Comb. Math. and Comb. Comp., 47 (2003) 31-64.
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LINKS
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F. Ruskey, Number of irreducible polynomials over GF(2) with given trace and subtrace
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FORMULA
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a(n) = Sum{ L(n, k) : n+k = 3 mod 4}, where L(n, k) = Sum{ mu(d)*{n/d choose k/d} : d|GCD(n, k)}
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CROSSREFS
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Cf. A042979-A042982.
Cf. A074027-A074030.
Sequence in context: A126291 A056224 A052527 this_sequence A006367 A077902 A005834
Adjacent sequences: A042979 A042980 A042981 this_sequence A042983 A042984 A042985
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KEYWORD
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nonn
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AUTHOR
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Frank Ruskey (fruskey(AT)cs.uvic.ca)
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