A038408 Coordination sequence for Zeolite Code DFT.

1, 4, 10, 21, 36, 55, 79, 106, 138, 175, 215, 260, 309, 362, 420, 482, 548, 618, 693, 772, 855, 943, 1034, 1130, 1231, 1335, 1444, 1557, 1674, 1796, 1922, 2052, 2186, 2325, 2468, 2615, 2767, 2922, 3082, 3247, 3415, 3588, 3765, 3946, 4132, 4322, 4516

Offset

0,2

References

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

Links

R. W. Grosse-Kunstleve, 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

International Zeolite Association, Database of Zeolite Structures

Formula

From Colin Barker, Feb 13 2018: (Start)

G.f.: (1 + x)^3*(1 + x^2)^3 / ((1 - x)^3*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)).

a(n) = a(n-1) + a(n-3) - a(n-4) + a(n-5) - a(n-6) - a(n-8) + a(n-9) for n>9.

(End)

Crossrefs

Sequence in context: A301013 A027370 A008000 * A038411 A033599 A038412

Adjacent sequences: A038405 A038406 A038407 * A038409 A038410 A038411

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved