A059135 A hierarchical sequence (S(W2{3}c) - see A059126).

11, 54, 161, 396, 887, 1890, 3917, 7992, 16163, 32526, 65273, 130788, 261839, 523962, 1048229, 2096784, 4193915, 8388198, 16776785, 33553980, 67108391, 134217234, 268434941, 536870376, 1073741267, 2147483070, 4294966697, 8589933972, 17179868543, 34359737706

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 07 2015: (Start)

a(n) = -53 + 2^(6+n) - 21*n.

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

G.f.: -(10*x+11) / ((x-1)^2*(2*x-1)).

(End)

a(n) = a(n-1) + Sum_{k=0..7*2^n-1} A059127(7*2^n-7+k) with a(-1)=0. - Sean A. Irvine, Sep 12 2022

Crossrefs

Cf. A059126, A059127.

Sequence in context: A104291 A172495 A003867 * A213840 A110159 A309921

Adjacent sequences: A059132 A059133 A059134 * A059136 A059137 A059138

Keyword

nonn

Author

Jonas Wallgren, Jan 19 2001

Extensions

More terms from Sean A. Irvine, Sep 12 2022

Status

approved