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A013029

E.g.f. (in x^2) is arctan(sinh(x)+sin(x))
(history; published version)

#7 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

#6 by T. D. Noe at Wed Mar 16 21:20:54 EDT 2011

STATUS

proposed

approved

#5 by Joerg Arndt at Wed Mar 16 11:55:05 EDT 2011

NAME

arctan(sinh(x)+sin(x))=2*x-16/3!*x^3+770/5!*x^5-92496/7!*x^7...

E.g.f. (in x^2) is arctan(sinh(x)+sin(x))

PROG

(PARI) x='x+O('x^33) /* That many terms */

v=Vec(serlaplace(atan(sin(x)+sinh(x)))); /* every second term is zero */

vector(#v\2, n, v[2*n-1]) /* show terms */

/* Joerg Arndt, Mar 16 2011 */

Discussion

Wed Mar 16

11:56

Joerg Arndt: Chances are slim (old seq).

#4 by Jean-François Alcover at Wed Mar 16 06:18:17 EDT 2011

MATHEMATICA

Partition[CoefficientList[Series[ArcTan[Sinh[x] + Sin[x]], {x, 0, 23}], x]*Range[0, 23]!, 2][[All, 2]]

STATUS

approved

proposed

Discussion

Wed Mar 16

08:00

Zak Seidov: I suggest to recycle this.

#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)+sin(x))=2*x-16/3!*x^3+770/5!*x^5-92496/7!*x^7...

DATA

2, -16, 770, -92496, 20740610, -7474383376, 3950577954050, -2879011223666256, 2766724614020441090, -3389992164431254725136, 5158145935254382213801730, -9542165281823577542150984016

OFFSET

0,1

REFERENCES

KEYWORD

sign,done

AUTHOR

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

STATUS

approved