

A301724


Coordination sequence for node of type V1 in "kra" 2D tiling (or net).


38



1, 6, 10, 16, 23, 27, 31, 38, 44, 48, 54, 60, 64, 70, 77, 81, 85, 92, 98, 102, 108, 114, 118, 124, 131, 135, 139, 146, 152, 156, 162, 168, 172, 178, 185, 189, 193, 200, 206, 210, 216, 222, 226, 232, 239, 243, 247, 254, 260, 264, 270, 276, 280, 286, 293, 297, 301, 308, 314, 318, 324, 330, 334, 340, 347, 351, 355, 362, 368, 372, 378, 384, 388, 394, 401, 405, 409, 416, 422, 426, 432, 438, 442, 448, 455, 459, 463, 470, 476, 480, 486, 492, 496, 502, 509, 513, 517, 524, 530, 534, 540
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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, 1st row, 1st tiling.


LINKS

Table of n, a(n) for n=0..100.
Brian Galebach, Collection of nUniform Tilings. See Number 20 from the list of 20 2uniform tilings.
Brian Galebach, kuniform tilings (k <= 6) and their Anumbers
C. GoodmanStrauss, N. J. A. Sloane, A Coloring Book Approach to Finding Coordination Sequences, arXiv:1803.08530 [math.CO], 2018.
Reticular Chemistry Structure Resource (RCSR), The kra tiling (or net)


FORMULA

Conjecture: G.f. = (x^10+4*x^9+6*x^7+x^6+3*x^5+x^4+6*x^3+4*x+1)/((x^4+x^3+x^2+x+1)*(x^4x^3+x^2x+1)*(x1)^2).  N. J. A. Sloane, Mar 29 2018


CROSSREFS

Cf. A301726.
Coordination sequences for the 20 2uniform 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: A315347 A315348 A129844 * A315349 A315350 A114975
Adjacent sequences: A301721 A301722 A301723 * A301725 A301726 A301727


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, Mar 26 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 bfile first.  N. J. A. Sloane, Mar 29 2018


STATUS

approved



