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A070212
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Number of 5 X 5 pandiagonal magic squares with sum n.
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1
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1, 10, 55, 220, 715, 2001, 4995, 11385, 24090, 47905, 90376, 162955, 282490, 473110, 768570, 1215126, 1875015, 2830620, 4189405, 6089710, 8707501, 12264175, 17035525, 23361975, 31660200, 42436251, 56300310, 73983205
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| Maya Ahmed, Jesus De Loera and Raymond Hemmecke, Polyhedral cones of magic cubes and squares, in Discrete and Computational Geometry, Springer, Berlin, 2003, pp. 25-41,
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LINKS
| M. Ahmed, J. De Loera, R. Hemmecke, Polyhedral Cones of Magic Cubes and Squares
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FORMULA
| a(n) = (1/8064) * (n+4)*(n+3)*(n+2)*(n+1)*(n^2+5n+8)*(n^2+5n+42)
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PROG
| (PARI) for(n=0, 20, print1(1/8064*(n+4)*(n+3)*(n+2)*(n+1)*(n^2+5*n+8)*(n^2+5*n+42), ", "))
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CROSSREFS
| Sequence in context: A107352 A127761 A162617 * A008502 A008492 A023035
Adjacent sequences: A070209 A070210 A070211 * A070213 A070214 A070215
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KEYWORD
| nonn,easy
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AUTHOR
| Sharon Sela (sharonsela(AT)hotmail.com), May 07 2002
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), May 12 2002
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