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Search: id:A049214
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| A049214 |
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Scaled coefficients of (arctanh x)^3. |
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+0 2
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| 1, 20, 784, 52352, 5360256, 782525952, 154594381824, 39746508226560, 12902483299368960, 5162443736924160000, 2496471943395999744000, 1435556519572510605312000, 968234590214616380866560000
(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)^3 or (1-x^2)^-1 * (arctanh x)^2
a(n) is coefficient of x^(2*n+3) in (arctanh x)^3, multiplied by (2*n+3)!/6
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EXAMPLE
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(arctanh x)^3 = x^3 + x^5 + 14/15*x^7 + 818/945*x^9 + ...
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CROSSREFS
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Adjacent sequences: A049211 A049212 A049213 this_sequence A049215 A049216 A049217
Sequence in context: A109894 A034404 A012802 this_sequence A002455 A041763 A041760
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KEYWORD
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nonn
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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