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A161726
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a(n) = n^2-917*n+9479.
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1
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9479, 8563, 7649, 6737, 5827, 4919, 4013, 3109, 2207, 1307, 409, -487, -1381, -2273, -3163, -4051, -4937, -5821, -6703, -7583, -8461, -9337, -10211, -11083, -11953, -12821, -13687, -14551, -15413, -16273, -17131, -17987, -18841, -19693, -20543, -21391, -22237
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| A prime-generating polynomial of the form f(x)=x^2-b*x+c.
|a(n)| are distinct primes for n = 0 to 29.
The values of this polynomial are never divisible by a prime less than 37. [Arkadiusz Wesolowski, Oct 11 2011]
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LINKS
| Arkadiusz Wesolowski, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| G.f.: (-9479+19874*x-10397*x^2)/(x-1)^3. - R. J. Mathar, Mar 08 2011
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MAPLE
| seq(n^2-917*n+9479, n=0..100); [Arkadiusz Wesolowski, Mar 08 2011].
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MATHEMATICA
| Table[n^2 - 917*n + 9479, {n, 0, 100}] (* Arkadiusz Wesolowski, Mar 04 2011 *)
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PROG
| (MAGMA) [ n^2-917*n+9479 : n in [0..100]] [Arkadiusz Wesolowski, Mar 04 2011].
(PARI) for(n=0, 100, print1(n^2-917*n+9479, ", ")) [Arkadiusz Wesolowski, Mar 02 2011].
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CROSSREFS
| Cf. A005846, A007635, A048059.
Sequence in context: A136145 A035792 A202099 * A110076 A204722 A204961
Adjacent sequences: A161723 A161724 A161725 * A161727 A161728 A161729
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KEYWORD
| easy,sign
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AUTHOR
| Arkadiusz Wesolowski (wesolowski(AT)aol.pl), Jun 17 2009
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EXTENSIONS
| Definition and offset changed by R. J. Mathar, Jun 18 2009
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