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A103501 (1/8)*number of equilateral triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube. 8
1, 10, 46, 158, 431, 974, 2022, 3837, 6777, 11263, 17947, 27541, 40835, 58904, 83081, 114543, 155232, 206901, 271573, 351583, 449833, 569225, 712847, 884408, 1088136, 1328616, 1610007, 1937077, 2315434, 2750476, 3250073, 3820925, 4469597 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Ray Chandler, Table of n, a(n) for n = 1..100

FORMULA

a(n)=A102698(n)/8.

CROSSREFS

Cf. all triangles in lattice cube A103426; special triangles in lattice cube: A103427, A103428, A103429, A103499, A103500; A103158 tetrahedra in lattice cube.

Sequence in context: A106600 A085437 A024166 * A003197 A096045 A183133

Adjacent sequences:  A103498 A103499 A103500 * A103502 A103503 A103504

KEYWORD

nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 08 2005

EXTENSIONS

a(32)-a(100) from Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 15 2007

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.