The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003050 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A003050

Number of primitive sublattices of index n in hexagonal lattice: triples x,y,z from Z/nZ with x+y+z = 0, discarding any triple that can be obtained from another by multiplying by a unit and permuting.
(history; published version)

#63 by Michael De Vlieger at Tue Sep 19 08:20:25 EDT 2023

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reviewed

approved

#62 by Joerg Arndt at Tue Sep 19 06:56:06 EDT 2023

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proposed

reviewed

#61 by Jon E. Schoenfield at Tue Sep 19 05:04:34 EDT 2023

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editing

proposed

#60 by Jon E. Schoenfield at Tue Sep 19 05:04:16 EDT 2023

LINKS

G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/A2.html">Home page for hexagonal (or triangular) lattice A2</a>.

FORMULA

where C_1 = 0 if 2|n or 9|n, = Product_{i=1..w, p_i > 3} ( 1 + Legendre(p_i, 3)) otherwise,

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approved

editing

#59 by Joerg Arndt at Tue Aug 25 09:52:23 EDT 2020

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reviewed

approved

#58 by Michel Marcus at Tue Aug 25 09:50:30 EDT 2020

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proposed

reviewed

#57 by Elijah Beregovsky at Tue Aug 25 09:20:50 EDT 2020

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editing

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#56 by Elijah Beregovsky at Tue Aug 25 09:20:43 EDT 2020

LINKS

Primož Potočnik, Pablo Spiga and Gabriel Verret, <a href="http://wwwstaff.matapp.unimib.it/~spiga/census.html">A census of small connected cubic vertex-transitive graphs</a> (See the sub-page Table.html, column headed "Dihedrants"). - N. J. A. Sloane, Apr 19 2014

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approved

editing

Discussion

Tue Aug 25

09:20

Elijah Beregovsky: Wrong link

#55 by Peter Luschny at Thu Jul 04 14:52:37 EDT 2019

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proposed

approved

#54 by Jon E. Schoenfield at Thu Jul 04 13:42:48 EDT 2019

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editing

proposed