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A008263
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Coordination sequence T2 for Scapolite.
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1
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1, 4, 11, 26, 43, 58, 90, 132, 159, 196, 257, 308, 352, 418, 495, 568, 637, 712, 810, 910, 993, 1092, 1213, 1324, 1432, 1550, 1681, 1830, 1961, 2076, 2238, 2416, 2547, 2692, 2887, 3068, 3224, 3394, 3595, 3808, 3987, 4160, 4396, 4632, 4811, 5022, 5281, 5514
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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 9502.
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LINKS
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FORMULA
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G.f.: (-1 -10*x^2 -24*x^3 -42*x^4 -3*x -72*x^5 -114*x^6 -155*x^7 -210*x^8 -260*x^9 -301*x^10 -338*x^11 -352*x^13 -338*x^14 -301*x^15 -260*x^16 -210*x^17 -155*x^18 -114*x^19 -72*x^20 -42*x^21 -24*x^22 -10*x^23 -3*x^24 -x^25 -352*x^12)*(1 +x)*(-1 +x^2)^2 / (-1 +x^4)^2 / (-1 +x^6) / (-1 +x^7) / (-1 +x^9).
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MATHEMATICA
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Table[SeriesCoefficient[(-1 - 10 x^2 - 24 x^3 - 42 x^4 - 3 x - 72 x^5 - 114 x^6 - 155 x^7 - 210 x^8 - 260 x^9 - 301 x^10 - 338 x^11 - 352 x^13 - 338 x^14 - 301 x^15 - 260 x^16 - 210 x^17 - 155 x^18 - 114 x^19 - 72 x^20 - 42 x^21 - 24 x^22 - 10 x^23 - 3 x^24 - x^25 - 352 x^12) (1 + x) (-1 + x^2)^2/(-1 + x^4)^2/(-1 + x^6)/(-1 + x^7)/(-1 + x^9), {x, 0, n}], {n, 0, 47}] (* Michael De Vlieger, Dec 23 2015 *)
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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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