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A267706 a(n) = 137*n^2 - 4043*n + 27277. 1
27277, 23371, 19739, 16381, 13297, 10487, 7951, 5689, 3701, 1987, 547, -619, -1511, -2129, -2473, -2543, -2339, -1861, -1109, -83, 1217, 2791, 4639, 6761, 9157, 11827, 14771, 17989, 21481, 25247, 29287, 33601, 38189, 43051, 48187, 53597, 59281, 65239, 71471, 77977 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

|a(n)| are distinct primes for n = 0 to 39.

The values of this polynomial are never divisible by a prime less than 59.

LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Prime-Generating Polynomial

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

G.f.: (27277-58460*x+31457*x^2)/(1-x)^3.

MAPLE

seq(137*n^2-4043*n+27277, n=0..39);

MATHEMATICA

Table[137*n^2 - 4043*n + 27277, {n, 0, 39}]

PROG

(MAGMA) [137*n^2-4043*n+27277: n in [0..39]];

(PARI) for(n=0, 39, print1(137*n^2-4043*n+27277, ", "));

CROSSREFS

Sequence in context: A251777 A032746 A099230 * A237381 A109481 A328214

Adjacent sequences:  A267703 A267704 A267705 * A267707 A267708 A267709

KEYWORD

sign,easy

AUTHOR

Arkadiusz Wesolowski, Jan 30 2016

STATUS

approved

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Last modified August 6 15:39 EDT 2020. Contains 336253 sequences. (Running on oeis4.)