%I #11 Sep 03 2019 03:38:58
%S 1,5,50,750,12500,212500,3625000,61875000,1056250000,18031250000,
%T 307812500000,5254687500000,89703125000000,1531328125000000,
%U 26141406250000000,446261718750000000,7618164062500000000
%N Third binomial transform of Pell(3n-1).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-50).
%F G.f.: (1-15*x)/(1 - 20*x + 50*x^2);
%F a(n) = (10 + 5*sqrt(2))^n*(1/2 - sqrt(2)/4) + (10 - 5*sqrt(2))^n*(1/2 + sqrt(2)/4).
%Y Cf. A000129, A093144, A093147.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Mar 26 2004