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Search: id:A066714
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| A066714 |
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Coordination sequence for ReO_3 net with respect to Re atom. |
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+0
3
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| 1, 6, 6, 30, 18, 78, 38, 150, 66, 246, 102, 366, 146, 510, 198, 678, 258, 870, 326, 1086, 402, 1326, 486, 1590, 578, 1878, 678, 2190, 786, 2526, 902, 2886, 1026, 3270, 1158, 3678, 1298, 4110, 1446, 4566, 1602, 5046, 1766, 5550, 1938, 6078, 2118, 6630, 2306
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Jean-Guillaume Eon (jgeon(AT)iq.ufrj.br), personal communication, Jan 05, 2002.
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LINKS
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Jean-Guillaume Eon, Algebraic determination of generating functions for coordination sequences in crystal structures, Acta Cryst. A58 (2002), 47-53. [Not a free site]
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FORMULA
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G.f.: (1+6*x+x^2)*(1+x^2)^2/(1-x^2)^3.
a(n) = 1 if n=1 or 2*n^2+5/2-(-1)^n*(n^2+1/2) if n>1 - C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 13 2004
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MAPLE
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1, seq(2*n^2+5/2-(-1)^n*(n^2+1/2), n=1..55); with(genfunc): seq(rgf_term((1+6*x+x^2)*(1+x^2)^2/(1-x^2)^3, x, i), i=0..55); (C. Ronaldo)
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CROSSREFS
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Cf. A066394.
Sequence in context: A123874 A016725 A151779 this_sequence A054436 A055522 A078637
Adjacent sequences: A066711 A066712 A066713 this_sequence A066715 A066716 A066717
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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), Jan 19 2002
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