A125606 Row sums of A125605.

1, 2, 4, 8, 12, 18, 32, 40, 48, 58, 80, 92, 182, 292, 488, 686, 1056, 1702, 3384, 6306, 6312, 11208, 15396, 25438, 50724, 76456, 120836, 183926, 367712, 283100, 241562, 458512, 295752, 359288, 552162, 980830, 1605822, 2364730, 1862174, 3342496

Offset

0,2

Comments

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.)

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A125605, A000079.

Sequence in context: A006500 A134181 A171645 * A192078 A136184 A011908

Adjacent sequences: A125603 A125604 A125605 * A125607 A125608 A125609

Keyword

nonn

Author

Franklin T. Adams-Watters, Nov 27 2006

Status

approved