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Search: id:A064352
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| 1, 3, 30, 504, 11880, 360360, 13366080, 586051200, 29654190720, 1700755056000, 109027350432000, 7725366544896000, 599555620984320000, 50578512186237235200, 4608264443634948096000, 450974292794344230912000
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
K. A. Penson and A. I. Solomon, Coherent states from combinatorial sequences.
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FORMULA
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Integral representation as n-th moment of a positive function on a positive half-axis, in Maple notation: a(n)= int(x^n*exp(-2*x/27)*(BesselK(1/3, 2*x/27)+BesselK(2/3, 2*x/27))*(sqrt(3)/(27*Pi)), x=0..infinity), n=0, 1...
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PROGRAM
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(PARI) { f3=f2=1; for (n=0, 100, if (n, f3*=3*n*(3*n - 1)*(3*n - 2); f2*=2*n*(2*n - 1)); write("b064352.txt", n, " ", f3/f2) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 12 2009]
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CROSSREFS
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Sequence in context: A007004 A012003 A164945 this_sequence A144739 A080527 A092677
Adjacent sequences: A064349 A064350 A064351 this_sequence A064353 A064354 A064355
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Sep 19 2001
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EXTENSIONS
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a(15) from Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 12 2009
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