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Search: id:A126591
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| A126591 |
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Coordination sequence of a point in the sphere packing 4/3/c27 of Fischer. Space group = I4132. Coordinates: x = 0.1768, y = 0.1768, z = 0.0000. Lattice parameter (arbitrary) = 10 units. The four nearest neighbours of a point lie within a sphere of radius 2. |
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1
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| 1, 4, 6, 11, 12, 22, 24, 44, 48, 88, 91, 128, 111, 182, 167, 254, 223, 296, 259, 392, 351, 516, 420, 536, 470, 682, 598, 850, 682, 872, 746, 1044, 908, 1264, 1007, 1280, 1087, 1502, 1283, 1750, 1395
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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W. Fischer, Existenzbedingungen homogener Kugelpackungen zu kubischen Gitterkomplexen mit drei Freiheitsgraden, Zeitschr. f. Kristallographie Vol. 140 (1974), pp. 50-74 (see p. 63)
R. W. Grosse-Kunstleve, G.O. Brunner and N. J. A. Sloane, Algebraic description of coordination sequences and exact topological densities for zeolites, Acta Cryst. Vol A52 (1996), pp. 879-889
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FORMULA
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The sequence d(1) d(2) ... has period 24 and consists of two types of interlaced subsequences with generating functions d(n) = a + bn + cn^2 with different coefficients: d(n) = 13/9 - (5/9)n + (10/9)n^2 for n = 25, 49, 73, ... d(n) = -100/9 + (5/18)n + (8/9)n^2 for n = 8, 32, 56, ...
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PROGRAM
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TOPOLAN
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CROSSREFS
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Sequence in context: A013018 A134038 A031271 this_sequence A031452 A094226 A047288
Adjacent sequences: A126588 A126589 A126590 this_sequence A126592 A126593 A126594
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KEYWORD
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more,nonn
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AUTHOR
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Wilfrid E. Klee (wiwi.klee(AT)inka.de), Mar 23 2007, Apr 03 2007
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