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Search: id:A134538
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| 4, 19, 44, 79, 124, 179, 244, 319, 404, 499, 604, 719, 844, 979, 1124, 1279, 1444, 1619, 1804, 1999, 2204, 2419, 2644, 2879, 3124, 3379, 3644, 3919, 4204, 4499, 4804, 5119, 5444, 5779, 6124, 6479, 6844, 7219, 7604, 7999, 8404, 8819, 9244, 9679, 10124
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OFFSET
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1,1
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COMMENT
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For k != 0, the quintic polynomials of the form x^5 + 5*(5*k^2-1)*x + 4*(5*k^2-1) have Galois group A5 (order 60) over rational numbers.
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FORMULA
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G.f.: x*(-4-7*x+x^2)/(-1+x)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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MATHEMATICA
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Table[5n^2 - 1, {n, 1, 50}]
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CROSSREFS
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Sequence in context: A003338 A047715 A031291 this_sequence A024013 A067981 A138617
Adjacent sequences: A134535 A134536 A134537 this_sequence A134539 A134540 A134541
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 30 2007
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