A066714 Coordination sequence for ReO_3 net with respect to Re atom.

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

Offset

0,2

References

Jean-Guillaume Eon (jgeon(AT)iq.ufrj.br), personal communication, Jan 05, 2002.

Links

Table of n, a(n) for n=0..48.

Jean-Guillaume Eon, Algebraic determination of generating functions for coordination sequences in crystal structures, Acta Cryst. A58 (2002), 47-53.

Formula

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

Maple

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

Crossrefs

Cf. A066394.

Sequence in context: A016725 A151779 A255462 * A054436 A055522 A078637

Adjacent sequences: A066711 A066712 A066713 * A066715 A066716 A066717

Keyword

nonn

Author

N. J. A. Sloane, Jan 19 2002

Status

approved