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 A001394 M3452 N1403 #38 Sep 03 2023 20:59:15 %S A001394 1,4,12,36,108,324,948,2796,8196,24060,70188,205284,597996,1744548, %T A001394 5073900,14774652,42922452,124814484,362267652,1052271732,3051900516, %U A001394 8857050204,25671988020,74449697484,215677847460,625096195404,1810062340812,5243388472212 %N A001394 Number of n-step self-avoiding walks on diamond. %C A001394 Number of 2 X n binary matrices avoiding simultaneously the right-angled numbered polyomino patterns (ranpp) (00;1) and (01;1). An occurrence of a ranpp (xy;z) in a matrix A=(a(i,j)) is a triple (a(i1,j1), a(i1,j2), a(i2,j1)) where i1 < i2, j1 < j2 and these elements are in same relative order as those in the triple (x,y,z). - _Sergey Kitaev_, Nov 11 2004 %D A001394 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A001394 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A001394 J. W. Essam and M. F. Sykes, <a href="http://dx.doi.org/10.1016/S0031-8914(63)80297-9">The crystal statistics of the diamond lattice</a>, Physica, 29 (1963), 378-388. %H A001394 A. J. Guttmann, <a href="http://dx.doi.org/10.1088/0305-4470/22/14/027">On the critical behavior of self-avoiding walks II</a>, J. Phys. A 22 (1989), 2807-2813. %H A001394 S. Kitaev, <a href="http://www.emis.de/journals/INTEGERS/papers/e21/e21.Abstract.html">On multi-avoidance of right angled numbered polyomino patterns</a>, Integers: Electronic Journal of Combinatorial Number Theory 4 (2004), A21, 20pp. %H A001394 S. Kitaev, <a href="https://web.archive.org/web/20130625171839/http://www.ms.uky.edu/~math/MAreport/4-ser.ps">On multi-avoidance of right angled numbered polyomino patterns</a>, University of Kentucky Research Reports (2004). %H A001394 J. L. Martin, <a href="http://dx.doi.org/10.1017/S0305004100036240">The exact enumeration of self-avoiding walks on a lattice</a>, Proc. Camb. Phil. Soc., 58 (1962), 92-101. %Y A001394 Cf. A001395, A001396, A001397, A001398, A097700, A176086, A227715, A227716. %K A001394 nonn,walk,nice %O A001394 0,2 %A A001394 _N. J. A. Sloane_ %E A001394 Edited and extended by _Joseph Myers_, Jul 21 2013 %E A001394 a(24)-a(27) from _Sean A. Irvine_, Nov 13 2017