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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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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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REFERENCES
| 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
| F. Ruskey, Number of irreducible polynomials over GF(2) with given trace and subtrace
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FORMULA
| 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
| Cf. A042979-A042982.
Cf. A074027-A074030.
Sequence in context: A126291 A056224 A052527 * A006367 A077902 A005834
Adjacent sequences: A042979 A042980 A042981 * A042983 A042984 A042985
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KEYWORD
| nonn
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AUTHOR
| Frank Ruskey (ruskey(AT)cs.uvic.ca)
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