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A301686 Coordination sequence for node of type V1 in "krh" 2-D tiling (or net). 38
1, 5, 7, 14, 17, 19, 28, 29, 31, 42, 41, 43, 56, 53, 55, 70, 65, 67, 84, 77, 79, 98, 89, 91, 112, 101, 103, 126, 113, 115, 140, 125, 127, 154, 137, 139, 168, 149, 151, 182, 161, 163, 196, 173, 175, 210, 185, 187, 224, 197, 199, 238, 209, 211, 252, 221, 223 (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 67, 2nd row, 1st tiling.

LINKS

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 A301686

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

FORMULA

Conjecture: G.f. = -(-x^6-5*x^5-7*x^4-12*x^3-7*x^2-5*x-1)/(x^6-2*x^3+1). - N. J. A. Sloane, Mar 28 2018

PROG

(PARI) See Links section.

CROSSREFS

Cf. A301688.

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: A314341 A314342 A249149 * A314343 A105638 A294379

Adjacent sequences:  A301683 A301684 A301685 * A301687 A301688 A301689

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 25 2018

EXTENSIONS

More terms from Rémy Sigrist, Mar 26 2018

STATUS

approved

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Last modified September 24 11:27 EDT 2021. Contains 347642 sequences. (Running on oeis4.)