The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A013017 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A013017

Expansion of e.g.f.: arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5...
(history; published version)

#6 by Harvey P. Dale at Fri Oct 18 11:44:38 EDT 2013

STATUS

editing

approved

#5 by Harvey P. Dale at Fri Oct 18 11:44:23 EDT 2013

NAME

Expansion of e.g.f.: arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5...

DATA

0, 2, -1, -13, 42, 493, -4410, -40829, 832440, 5004973, -245085120, -392887339, 101932624200, -443122544633, -55814061375072, 703885217039551, 37862793965199840, -939190392260961927, -29796126039875472768

OFFSET

0,12

MATHEMATICA

With[{nn=20}, CoefficientList[Series[ArcTan[Sinh[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 18 2013 *)

EXTENSIONS

a(0)=0 prepended and definition clarified by Harvey P. Dale, Oct 18 2013

STATUS

approved

editing

#4 by Charles R Greathouse IV at Fri Feb 24 12:51:16 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

arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5...

DATA

2, -1, -13, 42, 493, -4410, -40829, 832440, 5004973, -245085120, -392887339, 101932624200, -443122544633, -55814061375072, 703885217039551, 37862793965199840, -939190392260961927, -29796126039875472768

OFFSET

0,1

REFERENCES

KEYWORD

sign,done

AUTHOR

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

STATUS

approved