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Search: id:A111085
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| A111085 |
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Number of semi-magic 3-dimensional hypercubes with 27 entries and magic sum n. |
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+0
2
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| 1, 12, 132, 847, 3921, 14286, 43687, 116757, 280656, 619219, 1273125, 2467302, 4547458, 8027223, 13648170, 22454470, 35884827, 55883718, 85034962, 126719913, 185303679, 266351932, 376882089, 525651699, 723488194, 983663109, 1322315307
(list; graph; listen)
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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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FORMULA
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G.f.: (t^8+5t^7+67t^6+130t^5+242t^4+130t^3+67t^2+5t+1)/((1-t)^9(1+t)^2).
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MATHEMATICA
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CoefficientList[ Series[(t^8 + 5t^7 + 67t^6 + 130t^5 + 242t^4 + 130t^3 + 67t^2 + 5t + 1)/((1 - t)^9(1 + t)^2), {t, 0, 26}], t] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A070302, A093199.
Adjacent sequences: A111082 A111083 A111084 this_sequence A111086 A111087 A111088
Sequence in context: A097783 A078218 A048643 this_sequence A002721 A119217 A119237
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KEYWORD
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nonn
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AUTHOR
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njas, Oct 12 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 13 2005
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