The On-Line Encyclopedia of Integer Sequences (OEIS)

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A012752

exp(arctanh(x)*arcsinh(x)) = 1+2/2!*x^2+16/4!*x^4+398/6!*x^6+18072/8!*x^8...
(history; published version)

#9 by Alois P. Heinz at Thu Oct 24 16:22:08 EDT 2013

STATUS

editing

approved

#8 by Alois P. Heinz at Thu Oct 24 16:22:05 EDT 2013

NAME

exp(arctanh(x)*arcsinh(x)) = 1+2/2!*x^2+16/4!*x^4+398/6!*x^6+18072/8!*x^8...

STATUS

proposed

editing

#7 by Vaclav Kotesovec at Thu Oct 24 13:01:32 EDT 2013

STATUS

editing

proposed

#6 by Vaclav Kotesovec at Thu Oct 24 13:01:23 EDT 2013

FORMULA

a(n) ~ 2 * (2*n-1)! * (4*n)^(log(1+sqrt(2))/2) / GAMMA(log(1+sqrt(2))/2). - Vaclav Kotesovec, Oct 24 2013

#5 by Vaclav Kotesovec at Thu Oct 24 12:56:57 EDT 2013

MATHEMATICA

Table[n!*SeriesCoefficient[Exp[ArcTanh[x]*ArcSinh[x]], {x, 0, n}], {n, 0, 40, 2}] (* Vaclav Kotesovec, Oct 24 2013 *)

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)*arcsinh(x))=1+2/2!*x^2+16/4!*x^4+398/6!*x^6+18072/8!*x^8...

DATA

1, 2, 16, 398, 18072, 1465962, 169054092, 28688618814, 6235376638608, 1810793539845714, 636329871517885332, 282006422882452989030, 145933818284739352119000, 91644646853849910546846330

OFFSET

0,2

REFERENCES

KEYWORD

nonn

AUTHOR

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

STATUS

approved