%I #16 Jan 20 2016 19:05:43
%S 0,1,2,52,200,2896,15392,169792,1078400,10306816,72376832,639480832,
%T 4753049600,40201179136,308548739072,2546754076672,19903847628800,
%U 162051890937856,1279488468058112,10337467701133312,82090381869056000
%N a(n) = 2*a(n-1) + 48*a(n-2), a(0)=0, a(1)=1.
%C Essentially the same as A053455: a(n) = A053455(n-1), n>=1.
%H Vincenzo Librandi, <a href="/A080921/b080921.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,48).
%F a(n) = (8^n - (-6)^n)/14.
%F a(n) = Sum{k=1..n, binomial(n, 2k-1) * 7^(2(k-1)) }
%F G.f.: x/((1+6*x)*(1-8*x)).
%F a(n) = A053455(n-1), n>=1. [_R. J. Mathar_, Sep 18 2008]
%t CoefficientList[Series[x / ((1 + 6 x) (1 - 8 x)), {x, 0, 20}], x] (* _Vincenzo Librandi_, Aug 05 2013 *)
%t LinearRecurrence[{2,48},{0,1},30] (* _Harvey P. Dale_, Jan 20 2016 *)
%Y Cf. A079773, A051958, A015441, A080920.
%K easy,nonn
%O 0,3
%A _Paul Barry_, Feb 24 2003