#Euclidean distance of end points of self-avoiding walks on square lattice # #Hugo Pfoertner http://www.pfoertner.org/ # #Number of steps #| Average Euclidean distance (all SAWs) #| | Average Euclidean distance (only trapped walks) #| | | Sum of square displacements (all SAWs) #| | | | Sum of square displacements (only trapped walks) #| | | | | Number of SAWs #| | | | | | Number of trapped walks #N Avg All Avg Trapped A078797 A078799 A046661 A077482 2 1.60947571 0.00000000 8 0 3 0 3 2.04626754 0.00000000 41 0 9 0 4 2.55702553 0.00000000 176 0 25 0 5 2.95120531 0.00000000 679 0 71 0 6 3.39052940 0.00000000 2452 0 195 0 7 3.74768939 1.00000000 8447 1 543 1 8 4.14988556 1.70710678 28120 6 1479 2 9 4.48714660 1.63129745 91147 35 4067 11 10 4.86101288 2.32747478 289324 150 11025 25 11 5.18425446 2.32400705 902721 627 30073 95 12 5.53710275 2.99681476 2777112 2318 81233 228 13 5.84902471 3.03210771 8441319 8400 220375 752 14 6.18560213 3.67683302 25398500 28624 593611 1860 15 6.48781723 3.72836087 75744301 96049 1604149 5741 16 6.81131438 4.34038794 224156984 311002 4311333 14477 17 7.10516502 4.40756444 658855781 994899 11616669 42939 18 7.41774232 4.98444547 1924932324 3111570 31164683 109758 19 7.70429845 5.06737009 5593580859 9638347 83779155 317147 20 8.00755171 5.61106258 16175728584 29398762 224424291 818229 21 8.28765230 5.70757033 46572304083 88985840 602201507 2322512 22 8.58280996 6.22169681 133556779740 266359752 1611140121 6030293 23 8.85713196 6.32949587 381611332725 792360385 4316653453 16900541 24 9.14516037 6.81759615 1086759598120 2337329116 11536599329 44079555 25 9.41426329 6.93476442 3085406711831 6859721431 30870338727 122379267