%I #28 Jan 09 2025 08:01:32
%S 1,3,5,7,11,14,15,18,22,24,26,28,31,36,37,37,43,47,46,49,53,55,59,60,
%T 61,68,70,68,74,78,77,82,85,85,91,93,92,99,101,99,107,110,107,114,118,
%U 116,122,124,123,132,133,129,139,143,138,145,149,147,155,156
%N Coordination sequence for AlPO_4-11 structure with respect to node (Z) where decagon, hexagon and square meet and is not adjacent to node of type (X).
%C There are three types of nodes in this structure.
%C The coordination sequence with respect to a particular node gives the number of nodes that can be reached from that node in n steps along edges.
%H Joseph Myers, <a href="/A072151/b072151.txt">Table of n, a(n) for n = 0..1000</a>
%H M. E. Davis, <a href="https://doi.org/10.1038/nature00785">Ordered porous materials for emerging applications</a>, Nature, 417 (Jun 20 2002), 813-821 (gives structure).
%H R. J. Mathar, <a href="/A072151/a072151.ps">Illustration of counts and adjacencies</a> (PostScript)
%H N. J. A. Sloane, <a href="/A072150/a072150.gif">AlPO_4-11 structure, after Davis</a>
%F Empirical g.f.: 1 +x *(3 +5*x +10*x^2 +13*x^3 +16*x^4 +16*x^5 +16*x^6 +16*x^7 +16*x^8 +13*x^9 +10*x^10 +5*x^11 +3*x^12) / ( (1+x^2) *(x^6+x^3+1) *(x-1)^2 *(1+x+x^2)^2 ). - _R. J. Mathar_, Sep 30 2011
%Y Cf. A072149-A072154.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Jun 28 2002
%E More terms from _R. J. Mathar_, Mar 29 2007
%E Extended by _Joseph Myers_, Sep 29 2011