The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A349598

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A349598

E.g.f. satisfies: log(A(x)) = exp(x*A(x)^2) - 1.
(history; published version)

#24 by Vaclav Kotesovec at Fri Nov 26 08:48:19 EST 2021

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editing

approved

#23 by Vaclav Kotesovec at Fri Nov 26 08:47:57 EST 2021

FORMULA

Equivalently, a(n) ~ n^(n-1) / (2*sqrt(1 + LambertW(1/2)) * LambertW(1/2)^n * exp(3*n + 1 - (n + 1/2)/LambertW(1/2))). - Vaclav Kotesovec, Nov 26 2021

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approved

editing

#22 by Vaclav Kotesovec at Thu Nov 25 03:47:28 EST 2021

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editing

approved

#21 by Vaclav Kotesovec at Thu Nov 25 03:47:22 EST 2021

FORMULA

a(n) ~ s * n^(n-1) / (2 * sqrt(1 + r*s^2) * exp(n) * r^n), where r = 0.1513832219344136560178112221696108323993292386502... and s = 1.52429184135463908701026733917578550814344591549... are roots of the system of equations (1 + log(s))*2*r*s^2 = 1, 2*r*s^2*exp(r*s^2) = 1. - Vaclav Kotesovec, Nov 25 2021

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approved

editing

#20 by Joerg Arndt at Wed Nov 24 01:24:29 EST 2021

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proposed

approved

#19 by Seiichi Manyama at Wed Nov 24 00:08:48 EST 2021

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editing

proposed

#18 by Seiichi Manyama at Tue Nov 23 23:13:55 EST 2021

LINKS

Seiichi Manyama, <a href="/A349598/b349598.txt">Table of n, a(n) for n = 0..343</a>

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approved

editing

#17 by Joerg Arndt at Tue Nov 23 09:45:28 EST 2021

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reviewed

approved

#16 by Michel Marcus at Tue Nov 23 02:43:00 EST 2021

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proposed

reviewed

#15 by Seiichi Manyama at Tue Nov 23 02:40:15 EST 2021

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editing

proposed