A009931 Coordination sequence for MgCu2, Mg position.

1, 16, 52, 130, 244, 380, 538, 784, 986, 1268, 1588, 1930, 2236, 2764, 3086, 3592, 4126, 4676, 5084, 5962, 6364, 7096, 7846, 8624, 9094, 10372, 10808, 11786, 12760, 13768, 14254, 16000, 16430, 17656, 18856, 20114, 20576, 22840, 23218, 24712

Offset

0,2

References

Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (227) cF24.

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

Formula

From Colin Barker, Feb 13 2018: (Start)

G.f.: (1 + 19*x + 104*x^2 + 351*x^3 + 852*x^4 + 1577*x^5 + 2287*x^6 + 2666*x^7 + 2517*x^8 + 1921*x^9 + 1166*x^10 + 547*x^11 + 182*x^12 + 35*x^13 + x^14) / ((1 - x)^3*(1 + x)^3*(1 + x^2)*(1 + x + x^2)^3).

a(n) = - 3*a(n-1) - 4*a(n-2) - a(n-3) + 6*a(n-4) + 11*a(n-5) + 9*a(n-6) - 9*a(n-8) - 11*a(n-9) - 6*a(n-10) + a(n-11) + 4*a(n-12) + 3*a(n-13) + a(n-14) for n>14.

(End)

Crossrefs

Sequence in context: A009939 A009935 A241490 * A009936 A217736 A211578

Adjacent sequences: A009928 A009929 A009930 * A009932 A009933 A009934

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved