A301022 Coordination sequence T2 for Zeolite Code EZT.

1, 4, 10, 19, 31, 51, 73, 93, 123, 157, 195, 236, 274, 325, 379, 434, 495, 553, 622, 697, 768, 848, 929, 1012, 1108, 1202, 1299, 1397, 1498, 1620, 1734, 1842, 1960, 2086, 2225, 2354, 2482, 2622, 2769, 2924, 3072, 3220, 3378, 3547, 3721, 3888, 4055

Offset

0,2

Links

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

International Zeolite Association, Database of Zeolite Structures

Formula

G.f.: (1 + 4*x + 31*x^4 + 49*x^5 + 91*x^9 + 10*x^2 + 19*x^3 + 65*x^6 + 73*x^7 + 84*x^8 + 84*x^10 + 75*x^11 + 67*x^12 + 49*x^13 + 30*x^14 + 18*x^15 + x^16 - 16*x^17 - 30*x^18 - 47*x^19 - 68*x^20 - 77*x^21 - 83*x^22 - 87*x^24 - 15*x^29 - 4*x^31 - 73*x^25 - 2*x^34 - 53*x^27 - 30*x^28 - 10*x^30 + x^32 - 93*x^23 - 64*x^26) / (1 - x^5)^2 / (1 - x^8) / (1 - x^14).

Crossrefs

Sequence in context: A301021 A009895 A027371 * A301119 A098576 A063773

Adjacent sequences: A301019 A301020 A301021 * A301023 A301024 A301025

Keyword

nonn

Author

Sean A. Irvine, Mar 17 2018

Status

approved