login
(12n+9)^6.
0

%I #10 Jun 13 2015 00:48:42

%S 531441,85766121,1291467969,8303765625,34296447249,107918163081,

%T 282429536481,646990183449,1340095640625,2565164201769,4608273662721,

%U 7858047974841,12827693806929,20179187015625

%N (12n+9)^6.

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).

%F a(0)=531441, a(1)=85766121, a(2)=1291467969, a(3)=8303765625, a(4)=34296447249, a(5)=107918163081, a(6)=282429536481, 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). - _Harvey P. Dale_, Sep 14 2014

%t (12*Range[0,20]+9)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{531441,85766121,1291467969,8303765625,34296447249,107918163081,282429536481},20] (* _Harvey P. Dale_, Sep 14 2014 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.