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 A067640 #13 Jul 05 2023 10:41:18 %S A067640 1,2,2,8,20,10,42,174,210,70,260,1504,2992,2352,588,1796,13300,37100, %T A067640 47820,27720,5544,13396,120744,433620,784672,742296,339768,56628, %U A067640 105706,1122198,4928798,11515714,15294006,11376554,4294290 %N A067640 Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals. %H A067640 J. L. Jacobsen and P. Zinn-Justin, <a href="https://arxiv.org/abs/math-ph/0102015">A Transfer Matrix approach to the Enumeration of Knots</a>, arXiv:math-ph/0102015, 2001-2002. %e A067640 Table begins %e A067640 1 2 10 70 588 5544 56628 ... %e A067640 2 20 210 2352 27720 339768 4294290 ... %e A067640 8 174 2992 47820 742296 11376554 173401952 ... %e A067640 42 1504 37100 784672 15294006 283730240 5095814988 ... %e A067640 260 13300 433620 11515714 271846056 5947557516 123429078160 ... %e A067640 1796 120744 4928798 158295072 4403552940 111289501120 2626033507768 ... %e A067640 ... %Y A067640 Columns give A054993, A067641, A067642, A067643, rows give A005568, A067636, A067637, A067638, A067639. %K A067640 nonn,tabl %O A067640 0,2 %A A067640 _N. J. A. Sloane_, Feb 05 2002 %E A067640 More terms from Larry Reeves (larryr(AT)acm.org), Apr 08 2002