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A211607 111n^2 - 3123n + 10753. 0
10753, 7741, 4951, 2383, 37, -2087, -3989, -5669, -7127, -8363, -9377, -10169, -10739, -11087, -11213, -11117, -10799, -10259, -9497, -8513, -7307, -5879, -4229, -2357, -263, 2053, 4591, 7351, 10333, 13537, 16963, 20611, 24481, 28573, 32887, 37423, 42181, 47161, 52363, 57787 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

A prime-generating quadratic: the absolute values of the terms for 0<=n<=39 are prime.

LINKS

Table of n, a(n) for n=0..39.

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

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

FORMULA

a(n) = 111*n^2-3123*n+10753.

G.f.: -(13987*x^2-24518*x+10753)/(x-1)^3. [Colin Barker, Feb 16 2013]

MAPLE

proc(i)

local a, n;

for n from 0 to i do a:=111*n^2-3123*n+10753; if isprime(abs(a)) then

print(a); fi; od; end:

MATHEMATICA

Table[111n^2 - 3123n + 10753, {n, 0, 39}] (* Alonso del Arte, Feb 13 2013 *)

LinearRecurrence[{3, -3, 1}, {10753, 7741, 4951}, 40] (* Harvey P. Dale, Dec 04 2015 *)

PROG

(PARI) a(n)=111*n^2-3123*n+10753 \\ Charles R Greathouse IV, Feb 12 2013

CROSSREFS

Cf. A217440, A005846, A050268, A217439, A128878.

Sequence in context: A255031 A256949 A146320 * A258513 A258506 A254993

Adjacent sequences:  A211604 A211605 A211606 * A211608 A211609 A211610

KEYWORD

sign,easy

AUTHOR

Yusuf Z Gurtas, Feb 10 2013

STATUS

approved

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Last modified August 12 05:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)