Search: id:A079915
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%I A079915
%S A079915 1,11,596,9627,103129,780902,4557284,21670160,87396728,308055528,
%T A079915 971055240,2780440664,7324967640,17945144328,41249101928,89635336440,
%U A079915 185317652664,366517590440,696695849928
%N A079915 Solution to the Dancing School Problem with 10 girls and n+10 boys: f(10,
               n).
%C A079915 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 A079915 For fixed g, f(g,n) is polynomial in n for n >= g-2. See reference.
%D A079915 Jaap Spies, Dancing School Problems, Nieuw Archief voor Wiskunde 5/7 
               nr. 4, Dec 2006, p. 283-285.
%H A079915 Jaap Spies, <a href="http://www.jaapspies.nl/mathfiles/dancingschool.pdf">
               Dancing School Problems, Permanent solutions of Problem 29</a>.
%H A079915 J. Spies, <a href="http://www.jaapspies.nl/oeis/a079915.sage">SAGE program 
               for computing A079915</a>.
%H A079915 J. Spies, <a href="http://www.jaapspies.nl/mathfiles/dancing.sage">SAGE 
               program for computing the polynomial a(n)</a>.
%F A079915 for n>=8 a(n)=n^10-35*n^9+675*n^8-8610*n^7+78435*n^6-523467*n^5+2562525*n^4-9008160*n^3+21623220*n^2-31840760\
               *n+21750840
%p A079915 f := n->n^10-35*n^9+675*n^8-8610*n^7+78435*n^6-523467*n^5+2562525*n^4-9008160*n^3+21623220*n^2-31840760*n+217\
               50840 seq(f(i),i=8..21);
%Y A079915 Cf. A079908-A079928.
%Y A079915 Sequence in context: A004800 A065823 A049654 this_sequence A142738 A115737 
               A036933
%Y A079915 Adjacent sequences: A079912 A079913 A079914 this_sequence A079916 A079917 
               A079918
%K A079915 nonn
%O A079915 0,2
%A A079915 Jaap Spies (j.spies(AT)hccnet.nl), Jan 28 2003
%E A079915 Corrected by Jaap Spies (j.spies(AT)hccnet.nl), Feb 01 2004

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