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

1, 13, 1581, 39684, 647617, 7058469, 57031078, 363862092, 1918222840, 8641355080, 34132685120, 120629547584, 387665694976, 1145875468544, 3145428883520

Offset

0,2

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.

Links

Table of n, a(n) for n=0..14.

Jaap Spies, Dancing School Problems, Nieuw Archief voor Wiskunde 5/7 nr. 4, Dec 2006, pp. 283-285.

Jaap Spies, Dancing School Problems, Permanent solutions of Problem 29.

Crossrefs

Cf. A079908-A079928.

Sequence in context: A066457 A203515 A166929 * A028450 A201177 A015513

Adjacent sequences: A079914 A079915 A079916 * A079918 A079919 A079920

Keyword

nonn,more

Author

Jaap Spies, Jan 28 2003

Extensions

Corrected by Jaap Spies, Feb 01 2004

Status

approved