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A362374
Number of solutions of y^2 + y = x^3 + x where x and y are in GF(2^n).
1
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
OFFSET
1,1
LINKS
John C. Baez, Motivating Motives, arXiv:2304.08737 [math.NT], 2023. See pp. 4-5.
FORMULA
a(n) = 4 * A038518(n). - Joerg Arndt, Apr 20 2023
From Stefano Spezia, May 28 2024: (Start)
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)
MATHEMATICA
LinearRecurrence[{0, 2, 4}, {4, 4, 4}, 50] (* Paolo Xausa, May 28 2024 *)
CROSSREFS
Cf. A038518.
Sequence in context: A120914 A303397 A024949 * A059812 A077725 A217940
KEYWORD
nonn,easy
AUTHOR
Michel Marcus, Apr 20 2023
STATUS
approved