A215814 60516*n^2 - 61008*n + 2481403.

2481403, 2480911, 2601451, 2843023, 3205627, 3689263, 4293931, 5019631, 5866363, 6834127, 7922923, 9132751, 10463611, 11915503, 13488427, 15182383, 16997371, 18933391, 20990443, 23168527, 25467643, 27887791, 30428971, 33091183, 35874427, 38778703, 41804011

Offset

0,1

Comments

The formula gives consecutive primes for n from 1 to 20, except n=9.

This is the case m=41*6=246 and k=41 of the polynomial m^2*n^2 + (m^2 - 2*m)*n + (m^2*k) - (m-1).

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

G.f.: (2481403-4963298*x+2602927*x^2)/(1-x)^3. - Bruno Berselli, Aug 28 2012

Maple

A215814:=n->60516*n^2 - 61008*n + 2481403; seq(A215814(n), n=0..100); # Wesley Ivan Hurt, Nov 28 2013

Mathematica

Table[60516 n^2 - 61008 n + 2481403, {n, 0, 30}] (* Vincenzo Librandi, Aug 29 2012 *)

Prog

(Magma) [60516*n^2-61008*n+2481403: n in [0..26]]; // Bruno Berselli, Aug 28 2012
(PARI) a(n)=60516*n^2-61008*n+2481403 \\ Charles R Greathouse IV, Jun 17 2017

Crossrefs

Cf. A214732.

Sequence in context: A230015 A180705 A286036 * A114659 A179733 A234910

Adjacent sequences: A215811 A215812 A215813 * A215815 A215816 A215817

Keyword

nonn,easy

Author

Robert Potter, Aug 28 2012

Extensions

Offset changed from 1 to 0 and a(0) added from Vincenzo Librandi, Aug 29 2012

Gf adapted to the offset by Bruno Berselli, Aug 29 2012

Status

approved