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Jac(n)(2Jac(n)-1).
1

%I #7 Nov 07 2016 14:46:19

%S 0,1,1,15,45,231,861,3655,14365,58311,232221,932295,3725085,14913991,

%T 59639581,238612935,954386205,3817763271,15270790941,61084037575,

%U 244335101725,977343902151,3909371414301,15637499638215,62549981775645

%N Jac(n)(2Jac(n)-1).

%C mod(a(n),3)=A095130(n)

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (4,5,-20,-4,16).

%F G.f. : x(1-3x+6x^2)/((1-x^2)(1-4x)(1-4x^2)); a(n)=2(4^n+1)/9-4(-2)^n/9-2^n/3+(-1)^n/3.

%t LinearRecurrence[{4,5,-20,-4,16},{0,1,1,15,45},30] (* _Harvey P. Dale_, Nov 07 2016 *)

%Y Cf. A001045.

%K easy,nonn

%O 0,4

%A _Paul Barry_, May 29 2004