A009948 Coordination sequence for alpha-Nd, Position Nd1.

1, 12, 42, 96, 170, 264, 378, 516, 674, 852, 1050, 1272, 1514, 1776, 2058, 2364, 2690, 3036, 3402, 3792, 4202, 4632, 5082, 5556, 6050, 6564, 7098, 7656, 8234, 8832, 9450, 10092, 10754, 11436, 12138, 12864, 13610, 14376, 15162, 15972, 16802

Offset

0,2

References

Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (194) hP4.

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, Sep 09 2014: (Start)

a(n) = (5-(-1)^n+2*(-i)^n+2*i^n+42*n^2)/4 for n>0, where i=sqrt(-1).

a(n) = 2*a(n-1)-a(n-2)+a(n-4)-2*a(n-5)+a(n-6) for n>6.

G.f.: -(x^6+10*x^5+19*x^4+24*x^3+19*x^2+10*x+1) / ((x-1)^3*(x+1)*(x^2+1)). (End)

Crossrefs

Sequence in context: A210206 A005901 A090554 * A193068 A007586 A228391

Adjacent sequences: A009945 A009946 A009947 * A009949 A009950 A009951

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved