A059142 A hierarchical sequence (S(W2{3}*) - see A059126).

11, 40, 105, 242, 523, 1092, 2237, 4534, 9135, 18344, 36769, 73626, 147347, 294796, 589701, 1179518, 2359159, 4718448, 9437033, 18874210, 37748571, 75497300, 150994765, 301989702, 603979583, 1207959352, 2415918897, 4831837994, 9663676195, 19327352604

Offset

0,1

Links

Table of n, a(n) for n=0..29.

Jonas Wallgren, Hierarchical sequences

Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Formula

Conjectures from Colin Barker, Oct 06 2015: (Start)

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

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

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

(End)

Crossrefs

Cf. A059126.

Sequence in context: A147296 A337130 A353447 * A064798 A056124 A356043

Adjacent sequences: A059139 A059140 A059141 * A059143 A059144 A059145

Keyword

nonn

Author

Jonas Wallgren, Jan 19 2001

Extensions

More terms from Sean A. Irvine, Sep 13 2022

Status

approved