A008249 Coordination sequence T1 for Banalsite.

1, 4, 11, 22, 42, 67, 97, 133, 176, 223, 277, 335, 400, 471, 547, 627, 716, 809, 907, 1011, 1122, 1237, 1359, 1485, 1618, 1757, 1901, 2049, 2206, 2367, 2533, 2705, 2884, 3067, 3257, 3451, 3652, 3859, 4071, 4287, 4512, 4741, 4975, 5215, 5462, 5713, 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+10*x^3+16*x^4+15*x^5+12*x^6+6*x^7+x^8-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: A008016 A295957 A259574 * A174405 A016274 A092656

Adjacent sequences: A008246 A008247 A008248 * A008250 A008251 A008252

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved