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A049217 E.g.f.: (arctanh(x))^6/6! (even powers only). 2
1, 112, 14448, 2393600, 510205696, 137602949120, 46060832825344, 18793914785464320, 9198585089011777536, 5325419604670079827968, 3602492652661227322343424, 2817222656974232498101813248, 2523030777997770071132105342976, 2566233198310773279287315980615680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..80

FORMULA

E.g.f.: (arctanh x)^6/6! = sum(n>=0, a(n)*x^(2*n+6)/(2*n+6)! ).

EXAMPLE

(arctanh x)^6 = x^6 + 2*x^8 + 43/15*x^10 + 680/189*x^12 + ...

MAPLE

a:= n-> (2*n+6)!* coeff(series(arctanh(x)^6/6!, x, 2*n+7), x, 2*n+6):

seq (a(n), n=0..20);  # Alois P. Heinz, Aug 25 2012

MATHEMATICA

With[{nn=40, c=6!}, Take[CoefficientList[Series[ArcTanh[x]^6/c, {x, 0, nn}], x] Range[0, nn]!, {7, -1, 2}]] (* Harvey P. Dale, Aug 24 2012 *)

PROG

(PARI) a(n) = polcoeff(serlaplace(atanh(x+O(x^24))^6)/6!, 2*n+6)

CROSSREFS

Sequence in context: A180027 A240229 A187672 * A206310 A063409 A051366

Adjacent sequences:  A049214 A049215 A049216 * A049218 A049219 A049220

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

EXTENSIONS

Definition clarified by Harvey P. Dale, Aug 24 2012.

STATUS

approved

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Last modified November 19 11:20 EST 2018. Contains 317351 sequences. (Running on oeis4.)