id:A103658 - OEIS Search Results

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Number of configurations of 4 distinct points chosen from an (n+1) X (n+1) X (n+1) lattice cube resulting in objects with volume=0.

+0
4

12, 2918, 64576, 673943, 4058656, 19462319, 70636336, 224091378, 621046332, 1573877652, 3582064304, 3582064304, 15781332296 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`a(1)=12 because the 6 faces and 6 diagonal cuts along parallel diagonals of opposite faces through a cube are objects with 4 distinct points with volume=0.`
	CROSSREFS	`Cf. A103157 binomial((n+1)^3, 4), A103656 triangular pyramids with volume>0 in lattice cube. a(n)=A103157(n)-2*A103656(n).` `Adjacent sequences: A103655 A103656 A103657 this_sequence A103659 A103660 A103661` `Sequence in context: A006272 A111237 A028666 this_sequence A012603 A012737 A077299`
	KEYWORD	`hard,more,nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 14 2005`

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.