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A176696
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E.g.f.: exp(6*asin(x))-6*asin(x)
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1
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1, 0, 36, 216, 1440, 9936, 74880, 608040, 5391360, 51732000, 539136000, 6055025400, 73322496000, 950831881200, 13198049280000, 194943875747400, 3061947432960000, 50884296047208000, 894088650424320000
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OFFSET
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0,3
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COMMENTS
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Sum_{k>=0} a(k)/(2^k*k!) = e^Pi - Pi (A018938)
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LINKS
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Table of n, a(n) for n=0..18.
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[6ArcSin[x]]-6ArcSin[x], {x, 0, nn}], x] Range[0, nn]!] (* From Harvey P. Dale, Mar 11 2012 *)
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PROG
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(PARI) a(n)=polcoeff(exp(6*asin(x))-6*asin(x), n)*n!
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CROSSREFS
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Cf. A018938, A166748.
Sequence in context: A120465 A144523 A066610 * A113164 A017234 A112474
Adjacent sequences: A176693 A176694 A176695 * A176697 A176698 A176699
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KEYWORD
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nonn
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AUTHOR
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Jaume Oliver Lafont, Apr 24 2010
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STATUS
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approved
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