|
|
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
|
|
|
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
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|