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Search: id:A049217
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| A049217 |
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Expansion of (arctanh x)^6/6!. |
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+0
2
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| 1, 112, 14448, 2393600, 510205696, 137602949120, 46060832825344, 18793914785464320, 9198585089011777536, 5325419604670079827968, 3602492652661227322343424, 2817222656974232498101813248
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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E.g.f.: (arctanh x)^6/6! = sum_{n=0..inf} a(n)x^(2n+6)/(2n+6)!
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EXAMPLE
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(arctanh x)^6 = x^6 + 2*x^8 + 43/15*x^10 + 680/189*x^12 + ...
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PROGRAM
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(PARI) a(n) = polcoeff(serlaplace(atanh(x+O(x^24))^6)/6!, 2*n+6)
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CROSSREFS
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Sequence in context: A035813 A075910 A089277 this_sequence A063409 A051366 A051363
Adjacent sequences: A049214 A049215 A049216 this_sequence A049218 A049219 A049220
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KEYWORD
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nonn,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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