A134987 - OEIS

%I #15 Oct 18 2022 15:16:38

%S 0,0,0,0,1,4,10,20,35,58,100,192,405,880,1874,3844,7631,14886,29020,

%T 57192,114249,230300,465226,936948,1877771,3748498,7470532,14895728,

%U 29749837,59514152,119166962,238627620,477606935,955315390,1909991772,3818208792

%N Third extended Jacobsthal recurrence: a(n)=4a(n-1)-6(n-2)+4a(n-3)-a(n-4)+2a(n-5).

%C See A134658. Sequence is identical to half its fourth differences from second term.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1, 2).

%F O.g.f.: -1/[9(2x-1)]+(-4x^3-2x^2-1)/[9(x^4+2x^2-2x+1)]. - _R. J. Mathar_, Feb 06 2008

%t LinearRecurrence[{4,-6,4,-1,2},{0,0,0,0,1},60] (* _Harvey P. Dale_, Jul 12 2011 *)

%K nonn,easy

%O 0,6

%A _Paul Curtz_, Feb 05 2008

%E More terms from _Harvey P. Dale_, Jul 12 2011