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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). 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
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
KEYWORD
nonn,cons
AUTHOR
Gheorghe Coserea, Dec 03 2015
STATUS
approved

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Last modified July 22 09:18 EDT 2024. Contains 374485 sequences. (Running on oeis4.)