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A094228 Let s = -sqrt(2)*sqrt(n)*sqrt(1+I*n/(2*Pi))-n*log(n); then a(n) = floor(Re(-s)). 1

%I #10 Oct 02 2018 03:18:03

%S 1,3,5,8,11,14,17,21,24,28,32,35,39,43,47,52,56,60,64,69,73,78,82,87,

%T 91,96,101,105,110,115,120,124,129,134,139,144,149,154,159,164,169,

%U 175,180,185,190,195,200,206,211,216,222,227,232,238,243,249,254,259,265,270

%N Let s = -sqrt(2)*sqrt(n)*sqrt(1+I*n/(2*Pi))-n*log(n); then a(n) = floor(Re(-s)).

%C A prime-like asymptotic sequence based on zeta zero Hermite Hilbert space.

%C The Hermite wave function Phi[n,s]=HermiteH[n,s]*Exp[ -s^2/(4*n)]*(1+I)/(Sqrt[2]*n^(s/2)) doesn't give a good solution.

%H G. C. Greubel, <a href="/A094228/b094228.txt">Table of n, a(n) for n = 1..10000</a>

%t s=-Sqrt[2]*Sqrt[n]*Sqrt[1+I*n/(2*Pi)]-n*Log[n] a=Table[Floor[Re[ -s]], {n, 1, 200}]

%K nonn

%O 1,2

%A _Roger L. Bagula_, May 28 2004

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)