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A079917 Solution to the Dancing School Problem with 12 girls and n+12 boys: f(12,n). 0

%I #12 Dec 03 2021 18:52:38

%S 1,13,1581,39684,647617,7058469,57031078,363862092,1918222840,

%T 8641355080,34132685120,120629547584,387665694976,1145875468544,

%U 3145428883520

%N Solution to the Dancing School Problem with 12 girls and n+12 boys: f(12,n).

%C f(g,h) = per(B), the permanent of the (0,1)-matrix B of size g X g+h with b(i,j)=1 if and only if i <= j <= i+h. See A079908 for more information.

%C For fixed g, f(g,n) is polynomial in n for n >= g-2. See reference.

%H Jaap Spies, <a href="http://www.nieuwarchief.nl/serie5/pdf/naw5-2006-07-4-283.pdf">Dancing School Problems</a>, Nieuw Archief voor Wiskunde 5/7 nr. 4, Dec 2006, pp. 283-285.

%H Jaap Spies, <a href="http://www.jaapspies.nl/mathfiles/dancingschool.pdf">Dancing School Problems, Permanent solutions of Problem 29</a>.

%Y Cf. A079908-A079928.

%K nonn,more

%O 0,2

%A _Jaap Spies_, Jan 28 2003

%E Corrected by _Jaap Spies_, Feb 01 2004

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Last modified April 25 06:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)