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A301690 Coordination sequence for node of type V1 in "krf" 2-D tiling (or net). 38
1, 6, 6, 9, 12, 18, 24, 21, 24, 30, 36, 42, 36, 39, 48, 54, 60, 51, 54, 66, 72, 78, 66, 69, 84, 90, 96, 81, 84, 102, 108, 114, 96, 99, 120, 126, 132, 111, 114, 138, 144, 150, 126, 129, 156, 162, 168, 141, 144, 174, 180, 186, 156, 159, 192, 198, 204, 171, 174, 210, 216, 222, 186, 189, 228, 234, 240, 201, 204, 246, 252, 258, 216, 219, 264, 270, 276, 231, 234, 282, 288, 294, 246, 249, 300, 306, 312, 261, 264, 318, 324, 330, 276, 279, 336, 342, 348, 291, 294, 354, 360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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, 1st tiling.

LINKS

Table of n, a(n) for n=0..100.

Brian Galebach, Collection of n-Uniform Tilings. See Number 13 from the list of 20 2-uniform tilings.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

Reticular Chemistry Structure Resource (RCSR), The krf tiling (or net)

FORMULA

Conjecture: G.f. = -(-x^10-6*x^9-6*x^8-9*x^7-12*x^6-16*x^5-12*x^4-9*x^3-6*x^2-6*x-1)/(x^10-2*x^5+1). - N. J. A. Sloane, Mar 29 2018

CROSSREFS

Cf. A301692.

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: A198115 A291545 A205372 * A096474 A220439 A240620

Adjacent sequences:  A301687 A301688 A301689 * A301691 A301692 A301693

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Mar 25 2018

EXTENSIONS

a(11)-a(100) from Davide M. Proserpio, Mar 28 2018

DATA section contains 100 terms - this was deliberate. If you want to shorten this section, kindly add a b-file first. - N. J. A. Sloane, Mar 29 2018

STATUS

approved

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Last modified September 24 22:46 EDT 2021. Contains 347651 sequences. (Running on oeis4.)