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A062206 n^(2n). 9
1, 1, 16, 729, 65536, 9765625, 2176782336, 678223072849, 281474976710656, 150094635296999121, 100000000000000000000, 81402749386839761113321, 79496847203390844133441536, 91733330193268616658399616009 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

a(n) = A155955(n,n) = A000290(A000312(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 31 2009]

a(n) is also the number of sequences of length 2n on n symbols. [From W Bomfim (webonfim(AT)bol.com.br), Oct 06 2009]

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,100

FORMULA

a(n) = n^(2n).

(-1)^n*determinant of the 2n X 2n matrix M_(i, j) = i+j if (i + j) is a multiple of n, M_(i, j) = 1 otherwise. - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 06 2003

MAPLE

a0:=0, seq(mul(n^2, k=1..n), n=1..13); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008

MATHEMATICA

f[n_]:=n^(2*n); Join[{1}, f[Range[20]]] (*From Vladimir Joseph Stephan Orlovsky, Feb 19 2011*)

PROG

(PARI) { for (n=0, 100, write("b062206.txt", n, " ", n^(2*n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 02 2009]

CROSSREFS

Cf. A062207.

A155957. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 31 2009]

Sequence in context: A198283 A201622 A171736 * A086701 A159375 A129008

Adjacent sequences:  A062203 A062204 A062205 * A062207 A062208 A062209

KEYWORD

easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 13 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jun 15 2001

Initial term corrected Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 30 2009

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Last modified February 16 10:39 EST 2012. Contains 205904 sequences.