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A114853 Floor(n^n/n!!). +0
1
1, 2, 9, 32, 208, 972, 7843, 43690, 409968, 2604166, 27447010, 193491763 (list; graph; listen)
OFFSET

1,2

COMMENT

This is to double factorial A006882 as A055775 "Floor(n^n/n!)" is to factorial. This sequence is a weak first approximation of a double factorial analogue to Stirling's approximation to factorial. Note that a(n) is exact for n = 1, 2, 3, 4, 6.

FORMULA

a(n) = Floor[n^n/n!! ]. a(n) = Floor[A000312(n)/A006882(n)].

EXAMPLE

a(10) = Floor[(10^10)/3840] = Floor[2604166.67] = 2604166.

CROSSREFS

Cf. A000312, A006882, A055775.

Sequence in context: A026526 A086607 A013501 this_sequence A110376 A036505 A056916

Adjacent sequences: A114850 A114851 A114852 this_sequence A114854 A114855 A114856

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Feb 20 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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