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A008261
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Coordination sequence for quartz.
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1
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1, 4, 12, 30, 52, 80, 116, 156, 204, 258, 318, 384, 458, 536, 622, 714, 812, 916, 1028, 1144, 1268, 1398, 1534, 1676, 1826, 1980, 2142, 2310, 2484, 2664, 2852, 3044, 3244, 3450, 3662, 3880, 4106, 4336, 4574, 4818, 5068, 5324, 5588, 5856, 6132, 6414, 6702
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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Inorganic Crystal Structure Database: Collection Code 31048.
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LINKS
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FORMULA
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a(6m)=114m^2+2, a(6m+1)=114m^2+38m+4, a(6m+2)=114m^2+76m+14 (m>0), a(6m+3)=114m^2+114m+30, a(6m+4)=114m^2+152m+52, a(6m+5)=114m^2+190m+80 (N. J. A. Sloane).
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MAPLE
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(1+3*x+7*x^2+14*x^3+11*x^4+3*x^5-x^6-2*x^7+2*x^8)/(1-x^3)/(1-x^2)/(1-x);
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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