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

Author

Jonas Wallgren, Jan 19 2001

Keywords

• nonn

Links

• Jonas Wallgren, Hierarchical sequences
• Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Crossrefs

Cf. A059126, A059127.

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

Extensions

More terms from Sean A. Irvine, Sep 12 2022