id:A036558 - OEIS Search Results

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Squared distances that can arise in any Barlow packing of spheres of diameter sqrt(3) (the scale being the simplest one that makes this an integer sequence).

+0
2

0, 3, 6, 8, 9, 11, 12, 15, 17, 18, 19, 20, 21, 22, 24, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`The set of all values of N = xx + xy + yy + 2zz for which x, y, z are integers subject to the proviso that N must be a multiple of 3 if \|z\| < 2.`
	CROSSREFS	`Complement of A036559.` `Sequence in context: A137386 A153307 A004715 this_sequence A005870 A005652 A047401` `Adjacent sequences: A036555 A036556 A036557 this_sequence A036559 A036560 A036561`
	KEYWORD	`nonn`
	AUTHOR	`J. H. Conway (conway(AT)math.princeton.edu), N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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