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A362374
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Number of solutions of y^2 + y = x^3 + x where x and y are in GF(2^n).
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1
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4, 4, 4, 24, 24, 64, 144, 224, 544, 1024, 1984, 4224, 8064, 16384, 33024, 65024, 131584, 262144, 523264, 1050624, 2095104, 4194304, 8392704, 16769024, 33562624, 67108864, 134201344, 268468224, 536838144, 1073741824, 2147549184, 4294836224, 8590065664
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OFFSET
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1,1
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LINKS
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FORMULA
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G.f.: 4*x*(1 + x - x^2)/((1 - 2*x)*(1 + 2*x + 2*x^2)).
E.g.f.: 2*cosh(x)*(cosh(x) - cos(x)) + 2*(cosh(x) + cos(x))*sinh(x). (End)
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MATHEMATICA
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LinearRecurrence[{0, 2, 4}, {4, 4, 4}, 50] (* Paolo Xausa, May 28 2024 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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