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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
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OFFSET
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0,2
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REFERENCES
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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
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Table of n, a(n) for n=0..27.
M. Ahmed, J. De Loera, R. Hemmecke, Polyhedral Cones of Magic Cubes and Squares
Index to sequences with linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
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FORMULA
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a(n) = (1/8064) * (n+4)*(n+3)*(n+2)*(n+1)*(n^2+5n+8)*(n^2+5n+42)
G.f.: -(x^4+x^3+x^2+x+1) / (x-1)^9. [Colin Barker, Dec 10 2012]
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PROG
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(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
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Sequence in context: A107352 A127761 A162617 * A008502 A008492 A023035
Adjacent sequences: A070209 A070210 A070211 * A070213 A070214 A070215
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KEYWORD
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nonn,easy
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AUTHOR
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Sharon Sela (sharonsela(AT)hotmail.com), May 07 2002
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EXTENSIONS
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More terms from Benoit Cloitre, May 12 2002
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STATUS
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approved
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