|
|
A186302
|
|
a(n) = ( A007522(n)-1 )/2.
|
|
4
|
|
|
3, 11, 15, 23, 35, 39, 51, 63, 75, 83, 95, 99, 111, 119, 131, 135, 155, 179, 183, 191, 215, 219, 231, 239, 243, 251, 299, 303, 315, 323, 359, 363, 371, 375, 411, 419, 431, 443, 455, 459, 483, 491, 495, 515, 519, 531, 543, 551
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Each a(n) is of course congruent 3 (mod 4).
a(n) = A055034(p7m8(n)), with p7m8(n) := A007522(n). This is the degree of the minimal polynomial of rho(p7m8(n)):= 2*cos(Pi/p7m8(n)), called C(p7m8(n), x) in A187360. (End)
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
Degree of minimal polynomial C(prime 7 (mod 8), x):
|
|
MATHEMATICA
|
(Select[8*Range[200] - 1, PrimeQ] - 1)/2 (* Amiram Eldar, Jun 08 2022 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|