id:A126562 - OEIS Search Results

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Number of intersections of at least four edges in a cube of n X n X n smaller cubes.

+0
1

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)

	OFFSET	`1,2`
	FORMULA	`a(n) = 6 * (n-1)^2 + (n-1)^3`
	EXAMPLE	`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).`
	CROSSREFS	`Sequence in context: A013650 A013656 A067982 this_sequence A164270 A001794 A140289` `Adjacent sequences: A126559 A126560 A126561 this_sequence A126563 A126564 A126565`
	KEYWORD	`nonn`
	AUTHOR	`Jonathan R. Love (japanada11(AT)yahoo.ca), Mar 12 2007`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

AT&T Labs Research