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A079915
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Solution to the Dancing School Problem with 10 girls and n+10 boys: f(10,n).
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1
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1, 11, 596, 9627, 103129, 780902, 4557284, 21670160, 87396728, 308055528, 971055240, 2780440664, 7324967640, 17945144328, 41249101928, 89635336440, 185317652664, 366517590440, 696695849928
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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.
For fixed g, f(g,n) is polynomial in n for n >= g-2. See reference.
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REFERENCES
| Jaap Spies, Dancing School Problems, Nieuw Archief voor Wiskunde 5/7 nr. 4, Dec 2006, p. 283-285.
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LINKS
| Jaap Spies, Dancing School Problems, Permanent solutions of Problem 29.
J. Spies, SAGE program for computing A079915.
J. Spies, SAGE program for computing the polynomial a(n).
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FORMULA
| 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.
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MAPLE
| 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 +21750840: seq(f(i), i=8..21);
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CROSSREFS
| Cf. A079908-A079928.
Sequence in context: A049654 A179897 A185203 * A185656 A142738 A115737
Adjacent sequences: A079912 A079913 A079914 * A079916 A079917 A079918
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KEYWORD
| nonn
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AUTHOR
| Jaap Spies (j.spies(AT)hccnet.nl), Jan 28 2003
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EXTENSIONS
| Corrected by Jaap Spies (j.spies(AT)hccnet.nl), Feb 01 2004
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