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A049214 Scaled coefficients of (arctanh x)^3. 1
1, 20, 784, 52352, 5360256, 782525952, 154594381824, 39746508226560, 12902483299368960, 5162443736924160000, 2496471943395999744000, 1435556519572510605312000, 968234590214616380866560000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

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

Sequence in context: A034404 A179712 A012802 * A002455 A267671 A281777

Adjacent sequences:  A049211 A049212 A049213 * A049215 A049216 A049217

KEYWORD

nonn

AUTHOR

Joe Keane (jgk(AT)jgk.org)

STATUS

approved

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Last modified November 13 22:50 EST 2018. Contains 317149 sequences. (Running on oeis4.)