login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A012984
sech(arctan(x)+sin(x))=1-4/2!*x^2+104/4!*x^4-6694/6!*x^6...
0
1, -4, 104, -6694, 804632, -155439834, 44039778108, -17203328738054, 8861587113743248, -5819908969853023218, 4746578915592187681348, -4706547390563027522258046, 5575973518183361179212558488
OFFSET
0,2
MATHEMATICA
With[{nn=30}, Take[CoefficientList[Series[Sech[ArcTan[x]+Sin[x]], {x, 0, nn}], x]Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Dec 22 2012 *)
CROSSREFS
Sequence in context: A013054 A024262 A012958 * A202683 A013114 A281430
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved