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Search: id:A064335
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| 3, 4, 36, 864, 40320, 3110400, 359251200, 58118860800, 12553673932800, 3492203839488000, 1216451004088320000, 518769566666588160000, 265906457885674045440000, 161316584450642254233600000
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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All terms, except a(0) and a(1), are integer multiples of 6.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
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FORMULA
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Representation as n-th moment of a positive function on a positive half-axis, in Maple notation : a(n)=int(x^n*(exp(-sqrt(x))*(-1+sqrt(x)+2/sqrt(x))+x*Ei(-sqrt(x))), x=0..infinity), n=0, 1..., where Ei(y) is the exponential integral. This representation is unique.
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PROGRAM
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(PARI) { s=6; for (n=0, 100, if (n, s*=2*n*(2*n - 1)); a=s/(n + 2); write("b064335.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 12 2009]
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CROSSREFS
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Cf. A060593.
Sequence in context: A042891 A032835 A102920 this_sequence A013330 A088168 A032836
Adjacent sequences: A064332 A064333 A064334 this_sequence A064336 A064337 A064338
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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 13 2001
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