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A012458 arcsin(arctan(x)^2) = 2/2!*x^2 - 16/4!*x^4 + 488/6!*x^6 - 30336/8!*x^8... 1
2, -16, 488, -30336, 3303072, -556926720, 135234491520, -44790227865600, 19434264780034560, -10703464305128755200, 7296385856008015226880, -6031102564833737842851840, 5942962739028147945628999680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..12.

MATHEMATICA

With[{nn=30}, Take[CoefficientList[Series[ArcSin[ArcTan[x]^2], {x, 0, nn}], x] Range[0, nn]!, {3, -1, 2}]] (* Harvey P. Dale, Dec 13 2011 *)

CROSSREFS

Sequence in context: A201383 A306816 A012461 * A012171 A068472 A168402

Adjacent sequences:  A012455 A012456 A012457 * A012459 A012460 A012461

KEYWORD

sign

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

EXTENSIONS

Definition corrected by Harvey P. Dale, Dec 13 2011

STATUS

approved

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Last modified January 23 21:06 EST 2022. Contains 350515 sequences. (Running on oeis4.)