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 A049217 E.g.f.: (arctanh(x))^6/6! (even powers only). 5
 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 A331670 A063409 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 September 22 22:38 EDT 2021. Contains 347609 sequences. (Running on oeis4.)