id:A145394 - OEIS Search Results

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Number of sublattices of index n fixed by a certain point group (see reference for precise definition).

+0
1

1, 1, 2, 3, 2, 4, 4, 5, 5, 6, 4, 10, 6, 8, 8, 11, 6, 13, 8, 14, 12, 12, 8, 20, 11, 14, 14, 20, 10, 24, 12, 21, 16, 18, 16, 31, 14, 20, 20, 30, 14, 32, 16, 28, 26, 24, 16, 42, 21, 31, 24, 34, 18, 40, 24, 40, 28, 30, 20, 56, 22, 32, 36, 43, 28, 48, 24, 42, 32, 48 (list; graph; listen)

	OFFSET	`1,3`
	REFERENCES	`John S. Rutherford, Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type, Acta Cryst. (2009). A65, 156163. [See Table 2].`
	FORMULA	`a(n) = (A000203 + 3*A002324)/3. [Rutherford] - N. J. A. Sloane, Mar 13 2009`
	CROSSREFS	`Sequence in context: A087437 A081315 A035662 this_sequence A029143 A153846 A072406` `Adjacent sequences: A145391 A145392 A145393 this_sequence A145395 A145396 A145397`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Feb 23 2009`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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