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A049214 Scaled coefficients of (arctanh x)^3. +0
2
1, 20, 784, 52352, 5360256, 782525952, 154594381824, 39746508226560, 12902483299368960, 5162443736924160000, 2496471943395999744000, 1435556519572510605312000, 968234590214616380866560000 (list; graph; listen)
OFFSET

0,2

FORMULA

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

EXAMPLE

(arctanh x)^3 = x^3 + x^5 + 14/15*x^7 + 818/945*x^9 + ...

CROSSREFS

Adjacent sequences: A049211 A049212 A049213 this_sequence A049215 A049216 A049217

Sequence in context: A109894 A034404 A012802 this_sequence A002455 A041763 A041760

KEYWORD

nonn

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified October 16 16:43 EDT 2008. Contains 145098 sequences.


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