A093147 - OEIS

%I #9 Sep 03 2019 02:29:37

%S 1,15,250,4250,72500,1237500,21125000,360625000,6156250000,

%T 105093750000,1794062500000,30626562500000,522828125000000,

%U 8925234375000000,152363281250000000,2601003906250000000,44401914062500000000

%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.: (1-5*x)/(1 - 20*x + 50*x^2);

%F a(n) = ((1 + sqrt(2))*(10 + 5*sqrt(2))^n - (1 - sqrt(2))*(10-5*sqrt(2))^n)/(2*sqrt(2)).

%Y Cf. A000129, A093144, A093146.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Mar 26 2004