A126848 a(n) = floor(2*n^(5/11)).

2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14

Offset

1,1

Comments

Previous name was: Arises in lower bound of the spectral norm of n X n symmetric random matrices.

Links

James C. McMahon, Table of n, a(n) for n = 1..10000

Sandrine Peche and Alexander Soshnikov, On the lower bound of the spectral norm of symmetric random matrices with independent entries, arXiv:0706.0748 [math.PR], 2007-2008.

Formula

a(n) = floor(2*n^(5/11)).

Example

a(10) = 5 because 5 = floor(2 * 10^(5/11)) = floor(5.69607174).
a(100) = 16 = floor(2 * 100^(5/11)) = floor(16.2226166).
a(1000) = 46 = floor(2 * 1000^(5/11)) = floor(46.202594).
a(10000) = 131 = floor(2 * 10000^(5/11)) = floor(131.586645).

Mathematica

Table[Floor[2n^(5/11)], {n, 75}] (* James C. McMahon, Dec 27 2024 *)

Crossrefs

Sequence in context: A377108 A090501 A361385 * A232753 A067085 A321578

Adjacent sequences: A126845 A126846 A126847 * A126849 A126850 A126851

Keyword

easy,nonn,changed

Author

Jonathan Vos Post, Jun 07 2007

Extensions

New name using formula from Joerg Arndt, Sep 19 2024

Status

approved