A093196 Number of 4 X 4 pandiagonal magic squares with line sum 2*n.

1, 28, 265, 1392, 5145, 15100, 37681, 83392, 168273, 315580, 557689, 938224, 1514409, 2359644, 3566305, 5248768, 7546657, 10628316, 14694505, 19982320, 26769337, 35377980, 46180113, 59601856, 76128625, 96310396, 120767193

Offset

0,2

Links

Table of n, a(n) for n=0..26.

Matthias Beck, The number of "magic" squares and hypercubes, arXiv:math/0201013 [math.CO], 2002-2005.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: (1+x)*(1+20*x+70*x^2+20*x^3+x^4)/(1-x)^7. [corrected by Colin Barker, Aug 10 2012]

Crossrefs

Sequence in context: A189606 A336294 A172214 * A179098 A223111 A065693

Adjacent sequences: A093193 A093194 A093195 * A093197 A093198 A093199

Keyword

nonn,easy

Author

Ralf Stephan, Apr 22 2004

Status

approved