login
A hierarchical sequence (S(W2{2}*c) - see A059126).
0

%I #23 Jul 02 2023 16:12:56

%S 4,15,40,93,202,423,868,1761,3550,7131,14296,28629,57298,114639,

%T 229324,458697,917446,1834947,3669952,7339965,14679994,29360055,

%U 58720180,117440433,234880942,469761963,939524008,1879048101,3758096290,7516192671,15032385436

%N A hierarchical sequence (S(W2{2}*c) - 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 07 2015: (Start)

%F a(n) = 2*(-5 + 7*2^n) - 3*n.

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

%F G.f.: (x-4) / ((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