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A072151
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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).
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1
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1, 3, 5, 7, 11, 14, 15, 18, 22, 24, 26, 28, 31, 36, 37, 37, 43, 47, 46, 49, 53, 55, 59, 60, 61, 68, 70, 68, 74, 78, 77, 82, 85, 85, 91, 93, 92, 99, 101, 99, 107, 110, 107, 114, 118, 116, 122, 124, 123, 132, 133, 129, 139, 143, 138, 145, 149, 147, 155, 156
(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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REFERENCES
| M. E. Davis, Ordered porous materials for emerging applications, Nature, 417 (Jun 20 2002), 813-821 (gives structure).
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LINKS
| Joseph Myers, Table of n, a(n) for n = 0..1000
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 +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
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CROSSREFS
| Cf. A072149-A072154.
Sequence in context: A123677 A133954 A087325 * A029626 A111622 A082418
Adjacent sequences: A072148 A072149 A072150 * A072152 A072153 A072154
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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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