%I #11 Jul 25 2019 18:10:39

%S 1,8,62,470,3506,25838,188642,1367150,9849986,70629518,504484322,

%T 3591856430,25505792066,180717326798,1278081981602,9024938035310,

%U 63644751231746,448334368529678,3155267239152482,22188430630735790

%N Expansion of (1-5x)/((1-6x)(1-7x)).

%C Binomial transform of A085352.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (13,-42).

%F a(n) = 2*7^n-6^n.

%F a(n) = 2*A000420(n) - A000400(n). - _Michel Marcus_, Dec 03 2013

%p A085353:=n->2*7^n - 6^n; seq(A085353(n), n=0..20); # _Wesley Ivan Hurt_, Dec 02 2013

%t Table[2*7^n - 6^n, {n, 0, 20}] (* _Wesley Ivan Hurt_, Dec 02 2013 *)

%t CoefficientList[Series[(1-5x)/((1-6x)(1-7x)),{x,0,30}],x] (* _Harvey P. Dale_, Apr 22 2019 *)

%Y Cf. A085352.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jun 24 2003