OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
FORMULA
a(0) = 1, a(1) = 390625, a(2) = 43046721, a(3) = 815730721, a(4) = 6975757441, a(5) = 37822859361, a(6) = 152587890625, a(7) = 500246412961, a(8) = 1406408618241, 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, Jul 11 2013
MAPLE
MATHEMATICA
(4 * Range[0, 20] + 1)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 390625, 43046721, 815730721, 6975757441, 37822859361, 152587890625, 500246412961, 1406408618241}, 20] (* Harvey P. Dale, Jul 11 2013 *)
PROG
(Magma) [(4*n+1)^8: n in [0..20]]; // Vincenzo Librandi, Aug 28 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved