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A301688
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Coordination sequence for node of type V2 in "krh" 2-D tiling (or net).
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38
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1, 4, 9, 12, 17, 22, 24, 30, 35, 36, 43, 48, 48, 56, 61, 60, 69, 74, 72, 82, 87, 84, 95, 100, 96, 108, 113, 108, 121, 126, 120, 134, 139, 132, 147, 152, 144, 160, 165, 156, 173, 178, 168, 186, 191, 180, 199, 204, 192, 212, 217, 204, 225, 230, 216, 238, 243
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 67, 2nd row, 1st tiling.
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LINKS
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Rémy Sigrist, Table of n, a(n) for n = 0..1000
Brian Galebach, Collection of n-Uniform Tilings. See Number 12 from the list of 20 2-uniform tilings.
Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers
Rémy Sigrist, Illustration of first terms
Rémy Sigrist, PARI program for A301688
Reticular Chemistry Structure Resource (RCSR), The krh tiling (or net)
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FORMULA
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Conjecture: G.f. = -(-x^6-4*x^5-9*x^4-10*x^3-9*x^2-4*x-1)/(x^6-2*x^3+1). - N. J. A. Sloane, Mar 28 2018
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PROG
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(PARI) See Links section.
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CROSSREFS
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Cf. A301686.
Coordination sequences for the 20 2-uniform tilings in the order in which they appear in the Galebach catalog, together with their names in the RCSR database (two sequences per tiling): #1 krt A265035, A265036; #2 cph A301287, A301289; #3 krm A301291, A301293; #4 krl A301298, A298024; #5 krq A301299, A301301; #6 krs A301674, A301676; #7 krr A301670, A301672; #8 krk A301291, A301293; #9 krn A301678, A301680; #10 krg A301682, A301684; #11 bew A008574, A296910; #12 krh A301686, A301688; #13 krf A301690, A301692; #14 krd A301694, A219529; #15 krc A301708, A301710; #16 usm A301712, A301714; #17 krj A219529, A301697; #18 kre A301716, A301718; #19 krb A301720, A301722; #20 kra A301724, A301726.
Sequence in context: A190448 A312860 A312861 * A276885 A089910 A312862
Adjacent sequences: A301685 A301686 A301687 * A301689 A301690 A301691
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Mar 25 2018
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EXTENSIONS
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More terms from Rémy Sigrist, Mar 26 2018
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STATUS
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approved
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