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
Keywords
Links
- 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
Extensions
More terms from Sean A. Irvine, Sep 12 2022