login
Row sums of A125605.
2

%I #5 Aug 28 2016 18:23:42

%S 1,2,4,8,12,18,32,40,48,58,80,92,182,292,488,686,1056,1702,3384,6306,

%T 6312,11208,15396,25438,50724,76456,120836,183926,367712,283100,

%U 241562,458512,295752,359288,552162,980830,1605822,2364730,1862174,3342496

%N Row sums of A125605.

%C Conjectures: a(n) acts like u^n, where u = 2 zeta(3) / zeta(2). In increasing order of strength: (1) lim_{n->infinity} a(n)^(1/n) = u; (2) lim_{n->infinity} a(n+1)/a(n) = u; (3) a(n) = c u^n + o(u^n) for some c. (Conjectures 2 and 3 are very speculative.)

%H T. D. Noe, <a href="/A125606/b125606.txt">Table of n, a(n) for n = 0..1000</a>

%Y Cf. A125605, A000079.

%K nonn

%O 0,2

%A _Franklin T. Adams-Watters_, Nov 27 2006