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Search: id:A070302
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| A070302 |
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Number of 3 X 3 X 3 magic cubes with sum 3n. |
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+0
3
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| 1, 19, 121, 439, 1171, 2581, 4999, 8821, 14509, 22591, 33661, 48379, 67471, 91729, 122011, 159241, 204409, 258571, 322849, 398431, 486571, 588589, 705871, 839869, 992101, 1164151, 1357669, 1574371, 1816039, 2084521, 2381731, 2709649
(list; graph; listen)
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OFFSET
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1,2
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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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M. Ahmed, J. De Loera, R. Hemmecke, Polyhedral Cones of Magic Cubes and Squares
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FORMULA
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Generating function : (x^12 + 14x^9 + 36x^6 + 14x^3 + 1)/(1 - x^3)^5
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MATHEMATICA
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Select[ CoefficientList[ Series[ (x^12 + 14x^9 + 36x^6 + 14x^3 + 1) / (1 - x^3)^5, {x, 0, 105}], x], # > 0 & ]
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CROSSREFS
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First differences are in A008528. Cf. A111085.
Adjacent sequences: A070299 A070300 A070301 this_sequence A070303 A070304 A070305
Sequence in context: A027460 A044351 A044732 this_sequence A125329 A126487 A109669
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KEYWORD
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nonn
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AUTHOR
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Sharon Sela (sharonsela(AT)hotmail.com), May 10 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), May 13 2002
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