A088013 - OEIS

%I #10 Jan 05 2021 21:35:45

%S 1,1,4,10,36,116,400,1352,4624,15760,53824,183712,627264,2141504,

%T 7311616,24963200,85229824,290992384,993510400,3392055808,11581203456,

%U 39540700160,135000395776,460920178688,1573679927296,5372879343616

%N Binomial transform of A001541 (with interpolated zeros).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,0,-8,4).

%F G.f.: (1-3x+2x^3)/(1-4x+8x^3-4x^4);

%F e.g.f.: exp(x)cosh(x)cosh(sqrt(2)x);

%F a(n) = ((sqrt(2))^n + (-sqrt(2))^n + (2+sqrt(2))^n + (2-sqrt(2))^n)/4.

%t LinearRecurrence[{4,0,-8,4},{1,1,4,10},30] (* _Harvey P. Dale_, Jun 16 2017 *)

%K easy,nonn

%O 0,3

%A _Paul Barry_, Sep 18 2003