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A333772
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a(n) = n * 2^n * (n!)^2.
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0
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2, 32, 864, 36864, 2304000, 199065600, 22759833600, 3329438515200, 606790169395200, 134842259865600000, 35895009576222720000, 11277559372311429120000, 4129466323494701629440000, 1743270091026070964797440000, 840505222458998500884480000000
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OFFSET
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1,1
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COMMENTS
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Sum_{n>=1} a(n) / (2*n)! = Pi + 3.
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LINKS
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EXAMPLE
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a(2) = 2 * 2^2 * ( 2! )^2 = 2 * 4 * 4 = 32.
a(3) = 3 * 2^3 * ( 3! )^2 = 3 * 8 * 36 = 864.
Sum_{n=1..10} a(n) / ( 2n )! = 3 + 3.01310...
Sum_{n=1..12} a(n) / ( 2n )! = 3 + 3.10046...
Sum_{n=1..18} a(n) / ( 2n )! = 3 + 3.14046...
Sum_{n=1..20} a(n) / ( 2n )! = 3 + 3.14126...
Sum_{n=1..23} a(n) / ( 2n )! = 3 + 3.14154...
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PROG
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(Rexx)
S = 2
do N = 2 while length( S ) < 255
S = S || ', ' || N * ( 2 ** N ) * ( !( N ) ** 2 )
end N
say S ; return S
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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