|
%I #7 May 17 2021 15:25:46
%S 110,338,1922,14112,99458,677448,4657352,32224392,222731618,
%T 1535799042,10593565682,73137825800,504807500808,3483311199048,
%U 24039137911250,165910635792722,1144998159728418,7901869378889042,54533570221448658
%N Number of n X 6 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z.
%C Column 6 of A209374.
%H R. H. Hardin, <a href="/A209372/b209372.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +14*a(n-2) +99*a(n-3) +480*a(n-4) +853*a(n-5) +436*a(n-6) -2323*a(n-7) -22961*a(n-8) -92823*a(n-9) -109566*a(n-10) +569746*a(n-11) +2030470*a(n-12) -293503*a(n-13) -10059645*a(n-14) -9918549*a(n-15) +18973975*a(n-16) +37969285*a(n-17) +3662428*a(n-18) -35862891*a(n-19) -57230837*a(n-20) -85178624*a(n-21) -23562748*a(n-22) +100368825*a(n-23) +80676276*a(n-24) +46844891*a(n-25) +195226026*a(n-26) +361308350*a(n-27) +479250511*a(n-28) -129623337*a(n-29) -1262914837*a(n-30) -1851287254*a(n-31) -1785938979*a(n-32) +804164718*a(n-33) +5704875694*a(n-34) +11852999016*a(n-35) +16632464423*a(n-36) +22550379135*a(n-37) +19486831064*a(n-38) +19746367621*a(n-39) +9642676733*a(n-40) -3231241455*a(n-41) -5918667759*a(n-42) -31599729167*a(n-43) -18123291205*a(n-44) -38907162605*a(n-45) -26736770150*a(n-46) -16784905195*a(n-47) -35985249132*a(n-48) +16965218053*a(n-49) -42823460398*a(n-50) +38562880521*a(n-51) -42770608693*a(n-52) +40588075027*a(n-53) -35574515921*a(n-54) +30921013941*a(n-55) -24588082272*a(n-56) +19039316226*a(n-57) -13777268405*a(n-58) +9452914500*a(n-59) -5891683208*a(n-60) +3569931789*a(n-61) -1823418039*a(n-62) +933920718*a(n-63) -393931008*a(n-64) +145169946*a(n-65) -52043825*a(n-66) +7475295*a(n-67) -2404987*a(n-68) +7440905*a(n-69) -12061834*a(n-70) +13015534*a(n-71) -10110975*a(n-72) +5670394*a(n-73) -1915867*a(n-74) -247950*a(n-75) +624559*a(n-76) -305097*a(n-77) +59885*a(n-78) +48376*a(n-79) -51008*a(n-80) +11688*a(n-81) +4937*a(n-82) -1116*a(n-83) -1619*a(n-84) +642*a(n-85) +196*a(n-86) -182*a(n-87) +21*a(n-88) +19*a(n-89) -8*a(n-90) +a(n-91) for n > 92.
%e Some solutions for n=5
%e ..3..2..2..1..3..1....3..2..3..1..2..1....2..1..3..2..2..1....3..2..3..1..2..1
%e ..1..3..1..3..1..3....1..2..1..3..2..3....1..3..1..3..1..3....1..3..1..3..2..3
%e ..2..1..3..1..3..1....3..1..3..1..3..1....3..1..3..1..3..2....2..1..3..1..3..1
%e ..2..3..1..2..1..3....2..3..1..2..1..3....1..2..1..3..1..2....2..3..1..2..1..3
%e ..3..1..3..1..3..1....3..1..3..2..3..1....3..1..3..1..3..1....3..1..3..1..3..2
%Y Cf. A209374.
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 07 2012
| 