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A121887 (n^5 - 133*n^4 + 6729*n^3 - 158379*n^2 + 1720294*n - 6823316)/4. 2
-1705829, -1313701, -991127, -729173, -519643, -355049, -228581, -134077, -65993, -19373, 10181, 26539, 33073, 32687, 27847, 20611, 12659, 5323, -383, -3733, -4259, -1721, 3923, 12547, 23887, 37571, 53149, 70123, 87977, 106207, 124351, 142019, 158923, 174907, 189977, 204331, 218389 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Prime generating polynomial found by Shyam Sunder Gupta. The first 57 values (n=0..56) are primes.

LINKS

Table of n, a(n) for n=0..36.

Ed Pegg Jr., Prime generating polynomial

Eric Weisstein, Prime-Generating Polynomial, MathWorld

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

G.f. ( -1705829+8921273*x-18696356*x^2+19628654*x^3-10324925*x^4+2177213*x^5 ) / (x-1)^6 . - R. J. Mathar, Sep 13 2011

MATHEMATICA

f[x_] := (x^5 - 133*x^4 + 6729*x^3 - 158379*x^2 + 1720294*x - 6823316)/4; Table[f[x], {x, 0, 32}]

CROSSREFS

Sequence in context: A254241 A172792 A272710 * A237033 A234341 A207796

Adjacent sequences:  A121884 A121885 A121886 * A121888 A121889 A121890

KEYWORD

sign,easy

AUTHOR

Roger L. Bagula, Aug 31 2006

EXTENSIONS

Edited by N. J. A. Sloane, Sep 05 2006

STATUS

approved

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Last modified November 18 02:54 EST 2017. Contains 294840 sequences.