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(12n+7)^6.
1

%I #9 Jul 30 2015 16:43:51

%S 117649,47045881,887503681,6321363049,27680640625,90458382169,

%T 243087455521,567869252041,1194052296529,2313060765625,4195872914689,

%U 7212549413161,11853911588401,18755369578009

%N (12n+7)^6.

%H Harvey P. Dale, <a href="/A017610/b017610.txt">Table of n, a(n) for n = 0..1000</a>

%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)=117649, a(1)=47045881, a(2)=887503681, a(3)=6321363049, a(4)=27680640625, a(5)=90458382169, a(6)=243087455521, 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) From _Harvey P. Dale_, Jun 05 2012

%t (12*Range[0,30]+7)^6 (* or *) LinearRecurrence[ {7,-21,35,-35,21,-7,1},{117649,47045881,887503681,6321363049,27680640625,90458382169,243087455521},30] (* _Harvey P. Dale_, Jun 05 2012 *)

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_.