The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A296436 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A296436

Expansion of e.g.f. log(1 + arcsin(x))*exp(x).
(history; published version)

#13 by Bruno Berselli at Wed Mar 27 10:03:57 EDT 2019

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editing

approved

#12 by Paolo P. Lava at Wed Mar 27 05:23:17 EDT 2019

MAPLE

a:=series(log(1+arcsin(x))*exp(x), x=0, 24): seq(n!*coeff(a, x, n), n=0..23); # Paolo P. Lava, Mar 27 2019

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approved

editing

#11 by Vaclav Kotesovec at Thu Dec 21 06:57:21 EST 2017

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approved

#10 by Vaclav Kotesovec at Thu Dec 21 06:57:05 EST 2017

FORMULA

a(n) ~ -(-1)^n * sqrt(Pi) * 2^((n + 1)/2) * n^(n - 1/2) / (exp(n + sin(1)) * (1 - cos(2))^(n/2)). - Vaclav Kotesovec, Dec 21 2017

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approved

editing

#9 by Alois P. Heinz at Tue Dec 12 19:06:08 EST 2017

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#8 by Andrew Howroyd at Tue Dec 12 17:26:31 EST 2017

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#7 by Andrew Howroyd at Tue Dec 12 17:25:44 EST 2017

LINKS

Andrew Howroyd, <a href="/A296436/b296436.txt">Table of n, a(n) for n = 0..200</a>

#6 by Andrew Howroyd at Tue Dec 12 17:08:24 EST 2017

PROG

(PARI) my(ox=O(x^30)); Vecrev(Pol(serlaplace(log(1 + asin(x + ox)) * exp(x + ox)))) \\ Andrew Howroyd, Dec 12 2017

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editing

#5 by Susanna Cuyler at Tue Dec 12 16:51:28 EST 2017

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proposed

approved

#4 by Ilya Gutkovskiy at Tue Dec 12 16:41:45 EST 2017

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editing

proposed