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(12n+1)^6.
0

%I #8 Jul 30 2015 16:41:01

%S 1,4826809,244140625,2565726409,13841287201,51520374361,151334226289,

%T 377149515625,832972004929,1677100110841,3138428376721,5534900853769,

%U 9294114390625,14976071831449,23298085122481

%N (12n+1)^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)=1, a(1)=4826809, a(2)=244140625, a(3)=2565726409, a(4)=13841287201, a(5)=51520374361, a(6)=151334226289, 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_, Jan 14 2013

%t (12*Range[0,20]+1)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,4826809,244140625,2565726409,13841287201,51520374361,151334226289},20](* _Harvey P. Dale_, Jan 14 2013 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.