

A009948


Coordination sequence for alphaNd, Position Nd1.


0



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
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OFFSET

0,2


REFERENCES

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


LINKS

Table of n, a(n) for n=0..40.
R. W. GrosseKunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. GrosseKunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879889.


FORMULA

Conjectures 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(n1)a(n2)+a(n4)2*a(n5)+a(n6) for n>6.
G.f.: (x^6+10*x^5+19*x^4+24*x^3+19*x^2+10*x+1) / ((x1)^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

rwgk(AT)cci.lbl.gov (R.W. GrosseKunstleve)


STATUS

approved



