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Search: id:A126562
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| A126562 |
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Number of intersections of at least four edges in a cube of n X n X n smaller cubes. |
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+0
1
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| 0, 7, 32, 81, 160, 275, 432, 637, 896, 1215, 1600, 2057, 2592, 3211, 3920, 4725, 5632, 6647, 7776, 9025, 10400, 11907, 13552, 15341, 17280, 19375, 21632, 24057, 26656, 29435, 32400, 35557, 38912, 42471, 46240, 50225, 54432, 58867, 63536, 68445
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = 6 * (n-1)^2 + (n-1)^3
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EXAMPLE
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On a cube made of 3 X 3 X 3 smaller cubes, each of the 6 sides has 4 intersections of four edges, and in the center, there are 8 intersections of six edges. 6 * 4 + 8 = 32, which is a(3).
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CROSSREFS
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Sequence in context: A013650 A013656 A067982 this_sequence A001794 A140289 A133107
Adjacent sequences: A126559 A126560 A126561 this_sequence A126563 A126564 A126565
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KEYWORD
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nonn
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AUTHOR
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Jonathan R. Love (japanada11(AT)yahoo.ca), Mar 12 2007
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