A009930 Coordination sequence for MgCu2, Cu position.

1, 12, 50, 110, 216, 356, 528, 704, 968, 1230, 1514, 1838, 2276, 2562, 3074, 3540, 3998, 4490, 5244, 5570, 6374, 7052, 7662, 8300, 9438, 9740, 10862, 11754, 12512, 13280, 14852, 15060, 16544, 17658, 18542, 19418, 21492, 21542, 23414, 24752

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 + 15*x + 90*x^2 + 309*x^3 + 752*x^4 + 1411*x^5 + 2129*x^6 + 2610*x^7 + 2601*x^8 + 2095*x^9 + 1340*x^10 + 643*x^11 + 210*x^12 + 31*x^13 - 7*x^14 - 4*x^15) / ((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>15.

(End)

Crossrefs

Sequence in context: A009937 A009932 A009933 * A066644 A009934 A009927

Adjacent sequences: A009927 A009928 A009929 * A009931 A009932 A009933

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved