A008259 Coordination sequence T2 for Moganite, also for BGB1.

1, 4, 11, 24, 41, 62, 90, 122, 157, 200, 247, 296, 354, 416, 479, 552, 629, 706, 794, 886, 977, 1080, 1187, 1292, 1410, 1532, 1651, 1784, 1921, 2054, 2202, 2354, 2501, 2664, 2831, 2992, 3170, 3352, 3527, 3720, 3917, 4106, 4314, 4526, 4729, 4952, 5179, 5396

Offset

0,2

References

Inorganic Crystal Structure Database: Collection Code 67669 (for Moganite)

Links

Sean A. Irvine, Table of n, a(n) for n = 0..1000

R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences

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., A52 (1996), pp. 879-889.

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

D. M. Teter, G.V. Gibbs, M. B. Boisen, D.C. Allan, and M. P. Teter, First principles study of several hypothetical silica framework structures, Physical Review B, 52 (1995), pp. 8064-8073.

Index entries for linear recurrences with constant coefficients, signature (1,0,2,-2,0,-1,1).

Formula

a(3m) = 22m^2+2, a(3m+1) = 22m^2+15m+4, a(3m+2)=22m^2+29m+11. - N. J. A. Sloane

G.f.: -(x+1)*(x^6+2*x^5+5*x^4+6*x^3+5*x^2+2*x+1) / ((x-1)^3*(x^2+x+1)^2). - Colin Barker, Dec 12 2012

Mathematica

CoefficientList[Series[-(x + 1) (x^6 + 2 x^5 + 5 x^4 + 6 x^3 + 5 x^2 + 2 x + 1)/((x - 1)^3 (x^2 + x + 1)^2), {x, 0, 60}], x] (* Vincenzo Librandi, Oct 15 2013 *)
LinearRecurrence[{1, 0, 2, -2, 0, -1, 1}, {1, 4, 11, 24, 41, 62, 90, 122}, 70] (* Harvey P. Dale, May 10 2024 *)

Crossrefs

Sequence in context: A099456 A008069 A047950 * A008079 A301045 A008090

Adjacent sequences: A008256 A008257 A008258 * A008260 A008261 A008262

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve, David M. Teter (dmteter(AT)sandia.gov)

Status

approved