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(5n+3)^9.
0

%I #9 Jul 16 2017 21:05:20

%S 19683,134217728,10604499373,198359290368,1801152661463,

%T 10578455953408,46411484401953,165216101262848,502592611936843,

%U 1352605460594688,3299763591802133,7427658739644928,15633814156853823

%N (5n+3)^9.

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

%F a(0)=19683, a(1)=134217728, a(2)=10604499373, a(3)=198359290368, a(4)=1801152661463, a(5)=10578455953408, a(6)=46411484401953, a(7)=165216101262848, a(8)=502592611936843, a(9)=1352605460594688, a(n)=10*a(n-1)-45*a(n-2)+120*a(n-3)-210*a(n-4)+252*a(n-5)- 210*a(n-6)+ 120*a(n-7)-45*a(n-8)+10*a(n-9)-a(n-10) [From Harvey P. Dale, Dec 15 2011]

%t (5*Range[0,20]+3)^9 (* _Harvey P. Dale_, Dec 15 2011 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.