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A072151 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). 2

%I #18 Mar 30 2012 17:38:44

%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.

%D M. E. Davis, Ordered porous materials for emerging applications, Nature, 417 (Jun 20 2002), 813-821 (gives structure).

%H Joseph Myers, <a href="/A072151/b072151.txt">Table of n, a(n) for n = 0..1000</a>

%H N. J. A. Sloane, <a href="/A072150/a072150.gif">AlPO_4-11 structure, after Davis</a>

%H R. J. Mathar, <a href="/A072151/a072151.ps">Illustration of counts and adjacencies</a> (PostScript)

%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

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Last modified March 18 22:50 EDT 2024. Contains 370951 sequences. (Running on oeis4.)