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A076809
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a(n) = n^4 + 853n^3 + 2636n^2 + 3536n + 1753.
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7
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1753, 8779, 26209, 59197, 112921, 192583, 303409, 450649, 639577, 875491, 1163713, 1509589, 1918489, 2395807, 2946961, 3577393, 4292569, 5097979, 5999137, 7001581, 8110873, 9332599, 10672369, 12135817, 13728601, 15456403, 17324929, 19339909, 21507097, 23832271, 26321233, 28979809, 31813849, 34829227
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OFFSET
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0,1
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COMMENTS
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A prime-generating quartic polynomial.
For n=0 ... 20, the terms in this sequence are primes. This is not the case for n=21. See A272325 and A272326. - Robert Price, Apr 25 2016
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LINKS
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FORMULA
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G.f.: -(x^4-1588*x^3-156*x^2+14*x+1753)/(x- 1)^5. [Colin Barker, Nov 11 2012]
E.g.f.: (1753 + 7026*x + 5202*x^2 + 859*x^3 + x^4)*exp(x). - Ilya Gutkovskiy, Apr 25 2016
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MAPLE
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MATHEMATICA
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Table[n^4 + 853n^3 + 2636n^2 + 3536n + 1753, {n, 0, 100}] (* Wesley Ivan Hurt, Nov 13 2013 *)
CoefficientList[Series[-(x^4 - 1588 x^3 - 156 x^2 + 14 x + 1753)/(x - 1)^5, {x, 0, 33}], x] (* Michael De Vlieger, Apr 25 2016 *)
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PROG
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(Maxima) A076809(n):=n^4 + 853*n^3 + 2636*n^2 + 3536*n + 1753$
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Hilko Koning (hilko(AT)hilko.net), Nov 18 2002
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EXTENSIONS
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STATUS
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approved
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