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A049217 Expansion of (arctanh x)^6/6!. 1
1, 112, 14448, 2393600, 510205696, 137602949120, 46060832825344, 18793914785464320, 9198585089011777536, 5325419604670079827968, 3602492652661227322343424, 2817222656974232498101813248 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

E.g.f.: (arctanh x)^6/6! = sum_{n=0..inf} a(n)x^(2n+6)/(2n+6)!

EXAMPLE

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

PROG

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

CROSSREFS

Sequence in context: A203788 A180027 A187672 * A206310 A063409 A051366

Adjacent sequences:  A049214 A049215 A049216 * A049218 A049219 A049220

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.