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A072150
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Coordination sequence for AlPO_4-11 structure with respect to node (Y) where decagon, hexagon and square meet and is adjacent to node of type (X).
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3
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1, 3, 5, 8, 10, 13, 17, 18, 20, 25, 26, 28, 33, 33, 36, 42, 41, 43, 50, 49, 51, 58, 56, 59, 67, 64, 66, 75, 72, 74, 83, 79, 82, 92, 87, 89, 100, 95, 97, 108, 102, 105, 117, 110, 112, 125, 118, 120, 133, 125, 128, 142, 133, 135, 150, 141, 143, 158, 148, 151
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| There are three types of nodes in this structure.
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.
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LINKS
| Joseph Myers, Table of n, a(n) for n = 0..1000
M. E. Davis, Ordered porous materials for emerging applications, Nature, 417 (Jun 20 2002), 813-821 (gives structure).
N. J. A. Sloane, AlPO_4-11 structure, after Davis
R. J. Mathar, Illustration of counts and adjacencies (PostScript)
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FORMULA
| Empirical: G.f 1 +x*(3+5*x+8*x^2+7*x^3+8*x^4+9*x^5+8*x^6+7*x^7+8*x^8+5*x^9+3*x^10) / ( (x^6+x^3+1)*(x-1)^2*(1+x+x^2)^2 ) with a(n)= +a(n-3) +a(n-9) -a(n-12). - R. J. Mathar, Sep 30 2011
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CROSSREFS
| Cf. A072149-A072154.
Sequence in context: A186150 A060606 A050504 * A091309 A027922 A051611
Adjacent sequences: A072147 A072148 A072149 * A072151 A072152 A072153
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 28 2002
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 29 2007
Extended by Joseph Myers (jsm(AT)polyomino.org.uk), Sep 29 2011
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