The On-Line Encyclopedia of Integer Sequences (OEIS)

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A012881

Expansion of e.g.f.: exp(sech(x)*arcsinh(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+5/5!*x^5...
(history; published version)

#6 by Harvey P. Dale at Wed Jul 08 12:36:46 EDT 2020

STATUS

editing

approved

#5 by Harvey P. Dale at Wed Jul 08 12:36:43 EDT 2020

NAME

Expansion of e.g.f.: exp(sech(x)*arcsinh(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+5/5!*x^5...

MATHEMATICA

With[{nn=20}, CoefficientList[Series[Exp[Sech[x]ArcSinh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 08 2020 *)

EXTENSIONS

Definition clarified by Harvey P. Dale, Jul 08 2020

STATUS

approved

editing

#4 by Charles R Greathouse IV at Fri Feb 24 12:51:11 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

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

exp(sech(x)*arcsinh(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+5/5!*x^5...

DATA

1, 1, 1, -3, -15, 5, 345, 889, -11263, -82167, 455025, 7869301, -16466703, -906141171, -746021367, 128450716913, 480286325633, -22562588189167, -150637957014303, 4955964959446253, 46203820378253425

OFFSET

0,4

REFERENCES

KEYWORD

sign,done

AUTHOR

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

STATUS

approved