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Search: id:A060983
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| A060983 |
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Number of primitive sublattices of index n in generic 3-dimensional lattice. |
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+0
2
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| 1, 7, 13, 35, 31, 91, 57, 154, 130, 217, 133, 455, 183, 399, 403, 644, 307, 910, 381, 1085, 741, 931, 553, 2002, 806, 1281, 1209, 1995, 871, 2821, 993, 2632, 1729, 2149, 1767, 4550, 1407, 2667, 2379, 4774, 1723, 5187, 1893, 4655, 4030, 3871
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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These sublattices are in 1-1 correspondence with matrices
[a b d]
[0 c e]
[0 0 f]
with acf = n, b = 0..c-1, d = 0..f-1, e = 0..f-1, gcd(a,b,c,d,e,f) = 1.
This sequence may be multiplicative. - Mitch Harris, Apr 19 2005
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LINKS
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Index entries for sequences related to sublattices
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CROSSREFS
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Cf. A001001, with which it agrees unless n is divisible by a cube.
Sequence in context: A102903 A026318 A061204 this_sequence A001001 A067692 A117706
Adjacent sequences: A060980 A060981 A060982 this_sequence A060984 A060985 A060986
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 11 2001
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