A265179 Decimal expansion of the position 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).

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

Offset

1,2

Links

Gheorghe Coserea, Table of n, a(n) for n = 1..535

Philippe Flajolet, Zhicheng Gao, Andrew M. Odlyzko, Bruce Richmond. The Distribution of heights of binary trees and other simple trees, [Research Report] RR-1749, INRIA. 1992.

Philippe Flajolet, Andrew M. Odlyzko. The average height of binary trees and other simple trees, Research Report RR-0056, INRIA, 1981.

Formula

Equals lim A259899(n)/sqrt(n).

Example

1.63706134...

Crossrefs

Cf. A259899, A265180 (value of maximum).

Sequence in context: A268618 A024563 A319232 * A215608 A232883 A119643

Adjacent sequences: A265176 A265177 A265178 * A265180 A265181 A265182

Keyword

nonn,cons

Author

Gheorghe Coserea, Dec 03 2015

Status

approved