OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7); a(0)=15625, a(1)=4826809, a(2)=85766121, a(3)=594823321, a(4)=2565726409, a(5)=8303765625, a(6)=22164361129. - Harvey P. Dale, Oct 05 2011
G.f.: ( -15625 - 4717434*x - 52306583*x^2 - 95276588*x^3 - 34660263*x^4 - 1766458*x^5 - 729*x^6 ) / ( (x-1)^7 ). - R. J. Mathar, May 08 2015
MATHEMATICA
(8Range[0, 15]+5)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {15625, 4826809, 85766121, 594823321, 2565726409, 8303765625, 22164361129}, 16](* Harvey P. Dale, Oct 05 2011 *)
PROG
(Magma) [(8*n+5)^6: n in [0..25] ]; // Vincenzo Librandi, Jul 21 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved