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A278579
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Quadratic non-residues of 23: numbers n such that Jacobi(n,23) = -1.
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3
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5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 22, 28, 30, 33, 34, 37, 38, 40, 42, 43, 44, 45, 51, 53, 56, 57, 60, 61, 63, 65, 66, 67, 68, 74, 76, 79, 80, 83, 84, 86, 88, 89, 90, 91, 97, 99, 102, 103, 106, 107, 109, 111, 112, 113, 114, 120, 122, 125, 126, 129, 130, 132, 134, 135, 136, 137, 143, 145, 148, 149
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OFFSET
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1,1
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COMMENTS
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Important for the study of Ramanujan numbers A000594.
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REFERENCES
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Wilton, John Raymond. "Congruence properties of Ramanujan's function τ(n)." Proceedings of the London Mathematical Society 2.1 (1930): 1-10. See page 1.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1).
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FORMULA
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a(n+11) = a(n)+23.
G.f.: (x^11+x^10+x^9+x^8+2*x^7+2*x^6+x^5+3*x^4+x^3+3*x^2+2*x+5)/(x^12-x^11-x+1). (End)
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MATHEMATICA
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LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 22, 28}, 80] (* Harvey P. Dale, Jan 12 2020 *)
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CROSSREFS
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For the primes in this sequence see A191065.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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