A008250 Coordination sequence T2 for Banalsite.

1, 4, 11, 24, 42, 65, 97, 135, 176, 221, 277, 337, 400, 469, 547, 629, 716, 807, 907, 1013, 1122, 1235, 1359, 1487, 1618, 1755, 1901, 2051, 2206, 2365, 2533, 2707, 2884, 3065, 3257, 3453, 3652, 3857, 4071, 4289, 4512, 4739, 4975, 5217, 5462, 5711, 5971

Offset

0,2

References

Inorganic Crystal Structure Database: Collection Code 4447.

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

a(12*m+k) = 408*m^2 + 68*k*m + one of 12 numbers depending on k, 0<=k<12. - N. J. A. Sloane

G.f.: (1+3*x+7*x^2+12*x^3+14*x^4+13*x^5+12*x^6+8*x^7+3*x^8-3*x^9-x^10-x^11) / ((1-x)^3*(1+x)*(1+x^2)*(1+x+x^2)). - Colin Barker, Dec 20 2015

Crossrefs

Sequence in context: A008079 A301045 A008090 * A306262 A099074 A014818

Adjacent sequences: A008247 A008248 A008249 * A008251 A008252 A008253

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved