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A076808
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a(n) = 82n^3 - 1228n^2 + 6130n - 5861.
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10
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-5861, -877, 2143, 3691, 4259, 4339, 4423, 5003, 6571, 9619, 14639, 22123, 32563, 46451, 64279, 86539, 113723, 146323, 184831, 229739, 281539, 340723, 407783, 483211, 567499, 661139, 764623, 878443, 1003091, 1139059, 1286839, 1446923, 1619803, 1805971
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OFFSET
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0,1
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COMMENTS
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A prime-generating cubic polynomial.
For n=0 ... 31, the absolute value of terms in this sequence are primes. This is not the case for n=32. See A272323 and A272324. - Robert Price, Apr 25 2016
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LINKS
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FORMULA
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G.f.: (13301*x^3-29515*x^2+22567*x-5861)/(x-1)^4. - Colin Barker, Nov 10 2012
E.g.f.: (-5861 + 4984*x - 982*x^2 + 82*x^3)*exp(x). - Ilya Gutkovskiy, Apr 25 2016
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MATHEMATICA
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Table[82 n^3 - 1228 n^2 + 6130 n - 5861, {n, 0, 31}] (* or *)
CoefficientList[Series[(13301 x^3 - 29515 x^2 + 22567 x - 5861)/(x - 1)^4, {x, 0, 31}], x] (* Michael De Vlieger, Apr 25 2016 *)
LinearRecurrence[{4, -6, 4, -1}, {-5861, -877, 2143, 3691}, 40] (* Harvey P. Dale, Jun 18 2018 *)
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PROG
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(Maxima) A076808(n):=82*n^3-1228*n^2+6130*n-5861$
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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Hilko Koning (hilko(AT)hilko.net), Nov 18 2002
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STATUS
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approved
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