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(12n+7)^7.
0

%I #8 Sep 30 2015 10:20:03

%S 823543,893871739,27512614111,271818611107,1522435234375,

%T 6060711605323,19203908986159,51676101935731,122987386542487,

%U 266001988046875,532875860165503,1002544368429379,1789940649848551

%N (12n+7)^7.

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).

%F a(0)=823543, a(1)=893871739, a(2)=27512614111, a(3)=271818611107, a(4)=1522435234375, a(5)=6060711605323, a(6)=19203908986159, a(7)=51676101935731, a(n)=8*a(n-1)- 28*a(n-2)+ 56*a(n-3)- 70*a(n-4)+ 56*a(n-5)- 28*a(n-6)+ 8*a(n-7)-a(n-8). - _Harvey P. Dale_, Sep 30 2015

%t (12*Range[0,20]+7)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{823543,893871739,27512614111,271818611107,1522435234375,6060711605323,19203908986159,51676101935731},20] (* _Harvey P. Dale_, Sep 30 2015 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.