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Search: id:A078707
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A078707 Number of vectors of length n that are symmetric about the middle, where each element is drawn from a set of n distinct elements. +0
1
1, 2, 9, 16, 125, 216, 2401, 4096, 59049, 100000, 1771561, 2985984, 62748517, 105413504, 2562890625, 4294967296, 118587876497, 198359290368, 6131066257801, 10240000000000, 350277500542221, 584318301411328 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = n^(floor([(n+1)/2]))

PROGRAM

(PARI) for(n=1, 22, print1(n^((n+n%2)/2), ", "))

CROSSREFS

Cf. A004526.

Sequence in context: A032136 A032040 A045661 this_sequence A085332 A062981 A069622

Adjacent sequences: A078704 A078705 A078706 this_sequence A078708 A078709 A078710

KEYWORD

nonn

AUTHOR

Mark Sterling (half_trac(AT)hotmail.com), Dec 18 2002

EXTENSIONS

Extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 19 2002

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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