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A203411
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Discriminant of the cyclotomic binomial period polynomial for an odd prime.
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2
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1, 5, 49, 14641, 371293, 410338673, 16983563041, 41426511213649, 10260628712958602189, 756943935220796320321, 456487940826035155404146917, 4394336169668803158610484050361, 467056167777397914441056671494001, 6111571184724799803076702357055363809
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OFFSET
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2,2
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LINKS
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Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.
L. Carlitz and F. R. Olson, Maillet's determinant, Proceedings of the American Mathematical Society, 6/2 (1955), 265-269.
L. Carlitz, A special determinant, Proceedings of the American Mathematical Society, 6/2 (1955), 270-272.
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FORMULA
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a(n) = prime(n)^((prime(n)-3)/2).
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EXAMPLE
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a(5) = 11^4 = 14641, because prime(5) = 11.
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MATHEMATICA
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PROG
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(PARI) a(n) = prime(n)^((prime(n)-3)/2); \\ Michel Marcus, Apr 15 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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