|
|
|
|
1, 1, 241, 6481, 65281, 390001, 1678321, 5762401, 16773121, 43040161, 99990001, 214344241, 429960961, 815702161, 1475750641, 2562840001, 4294901761, 6975673921, 11019855601, 16983432721, 25599840001, 37822664881, 54875639281, 78310705441, 110074982401
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
a(n) = Phi_24(n) where Phi_k(x) is the k-th cyclotomic polynomial.
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (1-8*x+268*x^2+4264*x^3+15670*x^4+15544*x^5+4348*x^6+232*x^7+x^8)/ (1-x)^9. [Colin Barker, Apr 22 2012]
a(0)=1, a(1)=1, a(2)=241, a(3)=6481, a(4)=65281, a(5)=390001, a(6)=1678321, a(7)=5762401, a(8)=16773121, a(n)=9*a(n-1)-36*a(n-2)+84*a(n-3)- 126*a(n-4)+ 126*a(n-5)-84*a(n-6)+36*a(n-7)-9*a(n-8)+a(n-9). - Harvey P. Dale, Nov 03 2014
|
|
MAPLE
|
numtheory[cyclotomic](24, n) ;
end proc:
|
|
MATHEMATICA
|
Table[n^8-n^4+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 1, 241, 6481, 65281, 390001, 1678321, 5762401, 16773121}, 30] (* Harvey P. Dale, Nov 03 2014 *)
|
|
PROG
|
(PARI) { for (n=0, 1000, write("b060893.txt", n, " ", n^8 - n^4 + 1); ) } \\ Harry J. Smith, Jul 14 2009
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|