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%I #19 Sep 30 2024 01:52:41
%S 1,2,5,15,46,139,417,1250,3749,11247,33742,101227,303681,911042,
%T 2733125,8199375,24598126,73794379,221383137,664149410,1992448229,
%U 5977344687,17932034062,53796102187,161388306561,484164919682,1452494759045
%N Binomial transform of A077947.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,3).
%F a(n) = 3*a(n-1)-a(n-3)+3*a(n-4).
%F O.g.f.: -(1-x)^2/((3*x-1)*(x^2-x+1)). a(n) = (4*3^n+3*A010892(n)-A010892(n-1))/7. - _R. J. Mathar_, May 18 2008
%t LinearRecurrence[{3,0,-1,3},{1,2,5,15},30] (* _Harvey P. Dale_, Jan 12 2019 *)
%Y Cf. A010892, A077947, A133405, A122392.
%K nonn,easy
%O 0,2
%A _Paul Curtz_, May 16 2008
%E More terms from _R. J. Mathar_, May 18 2008