login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A161726 a(n) = n^2 - 917*n + 9479. 1
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; text; internal format)
OFFSET

0,1

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

LINKS

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

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

FORMULA

G.f.: (-9479+19874*x-10397*x^2)/(x-1)^3. - R. J. Mathar, Mar 08 2011

MAPLE

seq(n^2-917*n+9479, n=0..36); # Arkadiusz Wesolowski, Mar 08 2011

MATHEMATICA

Table[n^2 - 917*n + 9479, {n, 0, 36}] (* Arkadiusz Wesolowski, Mar 04 2011 *)

PROG

(MAGMA) [n^2-917*n+9479 : n in [0..36]]; // Arkadiusz Wesolowski, Mar 04 2011

(PARI) for(n=0, 36, print1(n^2-917*n+9479, ", ")); \\ Arkadiusz Wesolowski, Mar 02 2011

CROSSREFS

Cf. A005846, A007635, A048059.

Sequence in context: A209854 A235734 A235515 * A110076 A204722 A204961

Adjacent sequences:  A161723 A161724 A161725 * A161727 A161728 A161729

KEYWORD

easy,sign

AUTHOR

Arkadiusz Wesolowski, Jun 17 2009

EXTENSIONS

Definition and offset changed by R. J. Mathar, Jun 18 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 1 04:06 EDT 2020. Contains 337441 sequences. (Running on oeis4.)