|
|
A301682
|
|
Coordination sequence for node of type V1 in "krg" 2-D tiling (or net).
|
|
38
|
|
|
1, 6, 6, 18, 18, 18, 36, 30, 30, 54, 42, 42, 72, 54, 54, 90, 66, 66, 108, 78, 78, 126, 90, 90, 144, 102, 102, 162, 114, 114, 180, 126, 126, 198, 138, 138, 216, 150, 150, 234, 162, 162, 252, 174, 174, 270, 186, 186, 288, 198, 198, 306, 210, 210, 324, 222, 222, 342, 234, 234, 360, 246, 246, 378, 258
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Linear recurrence and g.f. confirmed by Shutov/Maleev link. - Ray Chandler, Aug 30 2023
|
|
REFERENCES
|
Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 66, 2nd row, 2nd tiling.
|
|
LINKS
|
|
|
FORMULA
|
G.f.: -(-x^6-6*x^5-6*x^4-16*x^3-6*x^2-6*x-1)/(x^6-2*x^3+1). - N. J. A. Sloane, Mar 29 2018
|
|
MATHEMATICA
|
LinearRecurrence[{0, 0, 2, 0, 0, -1}, {1, 6, 6, 18, 18, 18, 36}, 100] (* Paolo Xausa, Nov 15 2023 *)
|
|
CROSSREFS
|
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.
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|