The On-Line Encyclopedia of Integer Sequences (OEIS)

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A012756

exp(arctanh(x)*arctanh(x))=1+2/2!*x^2+28/4!*x^4+968/6!*x^6+61584/8!*x^8...
(history; published version)

#8 by Vaclav Kotesovec at Sun Feb 08 07:34:54 EST 2015

STATUS

editing

approved

#7 by Vaclav Kotesovec at Sun Feb 08 06:54:27 EST 2015

LINKS

Vaclav Kotesovec, <a href="/A012756/b012756.txt">Table of n, a(n) for n = 0..223</a>

#6 by Vaclav Kotesovec at Sun Feb 08 06:46:39 EST 2015

NAME

exp(arctanh(x)*atanharctanh(x))=1+2/2!*x^2+28/4!*x^4+968/6!*x^6+61584/8!*x^8...

#5 by Vaclav Kotesovec at Sun Feb 08 06:03:07 EST 2015

MATHEMATICA

nn = 20; Table[(CoefficientList[Series[E^(ArcTanh[x]^2), {x, 0, 2*nn}], x] * Range[0, 2*nn]!)[[n]], {n, 1, 2*nn+1, 2}] (* Vaclav Kotesovec, Feb 08 2015 *)

STATUS

approved

editing

#4 by Charles R Greathouse IV at Fri Feb 24 12:51:07 EST 2012

AUTHOR

Patrick Demichel (dmlpatrick.demichel(AT)hpfrcu03.france.hp.com)

Discussion

Fri Feb 24

12:51

OEIS Server: https://oeis.org/edit/global/108

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

nonn,new

nonn

AUTHOR

Patrick Demichel (dml@(AT)hpfrcu03.france.hp.com)

#2 by N. J. A. Sloane at Sun Jun 14 03:00:00 EDT 1998

REFERENCES

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Wed Dec 11 03:00:00 EST 1996

NAME

exp(arctanh(x)*atanh(x))=1+2/2!*x^2+28/4!*x^4+968/6!*x^6+61584/8!*x^8...

DATA

1, 2, 28, 968, 61584, 6221472, 912779712, 183144253056, 48126940270848, 16031131073204736, 6598147635721116672, 3287285755024478177280, 1949289186179973455646720, 1356446896562442205265633280

OFFSET

0,2

REFERENCES

KEYWORD

nonn

AUTHOR

Patrick Demichel (dml@hpfrcu03.france.hp.com)

STATUS

approved