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Number of arrangements of 1,2,..,n*n in an n X n matrix such that each row is increasing or decreasing.
0

%I #3 May 10 2013 12:44:48

%S 1,2,24,13440,1009008000,19947543780003840,

%T 170891375144777551827763200,942542805268120269309770939139883008000,

%U 4650425326497486529782791149613966242353671284224000000

%N Number of arrangements of 1,2,..,n*n in an n X n matrix such that each row is increasing or decreasing.

%F a(1) = 1 and for n >= 2: a(n) = 2^n * A034841(n) = 2^n * (n^2)! / (n!)^n.

%Y Cf. A034841.

%K nonn

%O 1,2

%A Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 14 2001

%E More terms from _Vladeta Jovovic_, Jul 18 2001

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Last modified September 23 06:50 EDT 2024. Contains 376143 sequences. (Running on oeis4.)