id:A035019 - OEIS Search Results

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Sizes of successive shells in hexagonal (or A_2) lattice.

+0
8

1, 6, 6, 6, 12, 6, 6, 12, 6, 12, 12, 6, 6, 12, 12, 6, 12, 12, 12, 6, 18, 12, 12, 12, 12, 6, 12, 12, 6, 12, 12, 6, 12, 24, 12, 12, 6, 12, 6, 12, 12, 12, 12, 6, 12, 12, 12, 24, 12, 6, 18, 12, 12, 12, 12, 12, 18, 12, 12, 12, 12, 12, 12, 6, 12, 18, 12, 12, 12, 12 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.`
	REFERENCES	`J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 111.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..10000` `G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2`
	FORMULA	`Nonzero coefficients in expansion of theta_3(q)theta_3(q^3)+theta_2(q)theta_2(q^3).`
	CROSSREFS	`Cf. A004016.` `Sequence in context: A131703 A135357 A046264 this_sequence A052380 A109047 A153171` `Adjacent sequences: A035016 A035017 A035018 this_sequence A035020 A035021 A035022`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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