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Search: id:A065140
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A065140 2^n*(2*n)!. +0
1
1, 4, 96, 5760, 645120, 116121600, 30656102400, 11158821273600, 5356234211328000, 3278015337332736000, 2491291656372879360000, 2301953490488540528640000, 2541356653499348743618560000 (list; graph; listen)
OFFSET

0,2

FORMULA

Hypergeometric generating function, in Maple notation: 1/sqrt(1-8*x), i.e. a(0)=1, a(n)=round(evalf(subs(x=0, n!*diff(1/(sqrt(1-8*x)), x$n)))), n=1, 2... Integral representation as n-th moment of a positive function on a positive half-axis: a(n)=int(x^n*exp(-sqrt(x/2))/(2*sqrt(2*x)), x=0..infinity), n=0, 1....

CROSSREFS

Sequence in context: A062779 A077155 A013042 this_sequence A007106 A111637 A027872

Adjacent sequences: A065137 A065138 A065139 this_sequence A065141 A065142 A065143

KEYWORD

nonn

AUTHOR

Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 16 2001

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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