This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A301678 #28 Feb 21 2025 22:37:05
%S A301678 1,5,10,14,20,26,31,36,41,46,52,58,60,65,74,79,80,86,96,98,99,108,117,
%T A301678 118,120,130,136,137,142,151,156,158,164,170,175,180,185,190,196,202,
%U A301678 204,209,218,223,224,230,240,242,243,252,261,262,264,274,280,281,286,295,300,302,308,314,319,324,329
%N A301678 Coordination sequence for node of type V1 in "krn" 2-D tiling (or net).
%C A301678 Linear recurrence and g.f. confirmed by Shutov/Maleev link. - _Ray Chandler_, Aug 30 2023
%D A301678 Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 67, 3rd row, 2nd tiling.
%H A301678 Ray Chandler, <a href="/A301678/b301678.txt">Table of n, a(n) for n = 0..1000</a>
%H A301678 Brian Galebach, <a href="http://probabilitysports.com/tilings.html">Collection of n-Uniform Tilings</a>. See Number 9 from the list of 20 2-uniform tilings.
%H A301678 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>
%H A301678 Reticular Chemistry Structure Resource (RCSR), <a href="http://rcsr.net/layers/krn">The krn tiling (or net)</a>
%H A301678 Anton Shutov and Andrey Maleev, <a href="https://doi.org/10.1515/zkri-2020-0002">Coordination sequences of 2-uniform graphs</a>, Z. Kristallogr., 235 (2020), 157-166. See supplementary material, krb, vertex u_1.
%H A301678 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,-1,1,0,0,0,1,-1,1,-1).
%F A301678 G.f.: -(2*x^12-3*x^10-4*x^9-6*x^8-10*x^7-11*x^6-10*x^5-11*x^4-8*x^3-6*x^2-4*x-1)/(x^10-x^9+x^8-x^7-x^3+x^2-x+1). - _N. J. A. Sloane_, Mar 29 2018
%t A301678 LinearRecurrence[{1,-1,1,0,0,0,1,-1,1,-1},{1,5,10,14,20,26,31,36,41,46,52,58,60},100] (* _Paolo Xausa_, Nov 15 2023 *)
%Y A301678 Cf. A301680.
%Y A301678 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.
%K A301678 nonn,easy
%O A301678 0,2
%A A301678 _N. J. A. Sloane_, Mar 25 2018
%E A301678 a(11)-a(100) from _Davide M. Proserpio_, Mar 28 2018