A253045 a(n) = 8*n^3 - 449*n^2 + 7967*n - 45523.

-45523, -37997, -31321, -25447, -20327, -15913, -12157, -9011, -6427, -4357, -2753, -1567, -751, -257, -37, -43, -227, -541, -937, -1367, -1783, -2137, -2381, -2467, -2347, -1973, -1297, -271, 1153, 3023, 5387, 8293, 11789, 15923, 20743, 26297, 32633, 39799

Offset

0,1

Comments

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

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 (4,-6,4,-1).

Formula

G.f.: (53947*x^3 - 152471*x^2 + 144095*x - 45523)/(x - 1)^4.

Maple

seq(8*n^3-449*n^2+7967*n-45523, n=0..37);

Mathematica

Table[8*n^3-449*n^2+7967*n-45523, {n, 0, 37}]
LinearRecurrence[{4, -6, 4, -1}, {-45523, -37997, -31321, -25447}, 40] (* Harvey P. Dale, May 06 2023 *)

Prog

(Magma) [8*n^3-449*n^2+7967*n-45523: n in [0..37]];
(PARI) for(n=0, 37, print1(8*n^3-449*n^2+7967*n-45523, ", "));

Crossrefs

Sequence in context: A269936 A269900 A287250 * A251397 A184473 A157653

Adjacent sequences: A253042 A253043 A253044 * A253046 A253047 A253048

Keyword

sign,easy

Author

Arkadiusz Wesolowski, Dec 26 2014

Status

approved