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A hierarchical sequence (S(W2{3}*) - see A059126).
0

%I #32 Jul 02 2023 16:14:37

%S 11,40,105,242,523,1092,2237,4534,9135,18344,36769,73626,147347,

%T 294796,589701,1179518,2359159,4718448,9437033,18874210,37748571,

%U 75497300,150994765,301989702,603979583,1207959352,2415918897,4831837994,9663676195,19327352604

%N A hierarchical sequence (S(W2{3}*) - see A059126).

%H Jonas Wallgren, <a href="/A059126/a059126.txt">Hierarchical sequences</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4, -5, 2).

%F Conjectures from _Colin Barker_, Oct 06 2015: (Start)

%F a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n > 2.

%F a(n) = (-25 + 9*2^(2+n) - 7*n).

%F G.f.: (4*x-11) / ((x-1)^2*(2*x-1)).

%F (End)

%Y Cf. A059126.

%K nonn

%O 0,1

%A _Jonas Wallgren_, Jan 19 2001

%E More terms from _Sean A. Irvine_, Sep 13 2022