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 A301722 #24 Nov 16 2023 15:56:37
%S A301722 1,5,10,15,22,27,31,38,43,47,54,59,63,70,75,79,86,91,95,102,107,111,
%T A301722 118,123,127,134,139,143,150,155,159,166,171,175,182,187,191,198,203,
%U A301722 207,214,219,223,230,235,239,246,251,255,262,267,271,278,283,287,294,299,303,310,315,319,326,331,335
%N A301722 Coordination sequence for node of type V2 in "krb" 2-D tiling (or net).
%C A301722 Linear recurrence and g.f. confirmed by Shutov/Maleev link. - _Ray Chandler_, Aug 30 2023
%D A301722 Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 66, 1st row, 2nd tiling.
%H A301722 Ray Chandler, <a href="/A301722/b301722.txt">Table of n, a(n) for n = 0..1000</a>
%H A301722 Brian Galebach, <a href="http://probabilitysports.com/tilings.html">Collection of n-Uniform Tilings</a>. See Number 19 from the list of 20 2-uniform tilings.
%H A301722 Brian Galebach, <a href="/A250120/a250120.html">k-uniform tilings (k <= 6) and their A-numbers</a>
%H A301722 Reticular Chemistry Structure Resource (RCSR), <a href="http://rcsr.net/layers/krb">The krb tiling (or net)</a>
%H A301722 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 A301722 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1).
%F A301722 G.f.: (-x^6+3*x^4+4*x^3+5*x^2+4*x-1)/(x^4-x^3-x+1). - _Ray Chandler_, Aug 30 2023
%t A301722 LinearRecurrence[{1,0,1,-1},{1,5,10,15,22,27,31},100] (* _Paolo Xausa_, Nov 16 2023 *)
%Y A301722 Cf. A301720.
%Y A301722 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 A301722 nonn,easy
%O A301722 0,2
%A A301722 _N. J. A. Sloane_, Mar 26 2018
%E A301722 a(11)-a(100) from _Davide M. Proserpio_, Mar 28 2018