The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A012216 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A012216

sinh(arctan(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+28416/9!*x^9...
(history; published version)

#8 by Harvey P. Dale at Fri Oct 04 11:28:17 EDT 2024

STATUS

editing

approved

#7 by Harvey P. Dale at Fri Oct 04 11:28:15 EDT 2024

MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[Sinh[ArcTan[ArcSinh[x]]], {x, 0, nn}], x] Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Oct 04 2024 *)

STATUS

approved

editing

#6 by R. J. Mathar at Wed Jul 11 13:27:28 EDT 2012

STATUS

editing

approved

#5 by R. J. Mathar at Wed Jul 11 13:27:18 EDT 2012

CROSSREFS

Bisection of A012213.

STATUS

approved

editing

#4 by Charles R Greathouse IV at Fri Feb 24 12:50:44 EST 2012

AUTHOR

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

Discussion

Fri Feb 24

12:50

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

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

KEYWORD

sign,done,new

sign

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

sign,done,new

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

NAME

sinh(arctan(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+28416/9!*x^9...

DATA

1, -2, 24, -664, 28416, -942336, -260697984, 165900454656, -85943912448000, 48584004553543680, -31574321393019125760, 23832746038658540666880, -20858343927838973179822080, 21048655959583804491297914880

OFFSET

0,2

REFERENCES

KEYWORD

sign,done

AUTHOR

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

STATUS

approved