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A265180 Decimal expansion of the maximum of the function f(x) = x*Sum_{n>=1} n^2*(2*n^2*x^2-3)*exp(-n^2*x^2). 3

%I #26 Mar 17 2018 04:11:19

%S 2,6,7,5,6,1,2,4,6,6,8,0,4,8,0,9,9,7,0,9,4,6,9,9,6,2,3,9,9,6,4,1,3,3,

%T 7,2,2,4,0,4,9,6,3,0,7,7,7,8,6,4,6,1,7,0,9,9,0,4,3,3,1,6,7,2,5,4,2,6,

%U 3,6,0,1,9,1,7,8,6,6,6,0,7,9,9,8,6,1,7

%N Decimal expansion of the maximum of the function f(x) = x*Sum_{n>=1} n^2*(2*n^2*x^2-3)*exp(-n^2*x^2).

%H Gheorghe Coserea, <a href="/A265180/b265180.txt">Table of n, a(n) for n = 0..1024</a>

%H Philippe Flajolet, Zhicheng Gao, Andrew M. Odlyzko, Bruce Richmond. <a href="https://hal.inria.fr/inria-00076989">The Distribution of heights of binary trees and other simple trees</a>, Research Report RR-1749, INRIA, 1992.

%H Philippe Flajolet, Andrew M. Odlyzko. <a href="https://hal.inria.fr/inria-00076505">The average height of binary trees and other simple trees</a>, Research Report RR-0056, INRIA, 1981.

%e 0.2675612...

%Y Cf. A259885, A265179 (position of maximum).

%K nonn,cons

%O 0,1

%A _Gheorghe Coserea_, Dec 03 2015

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)