|
| |
|
|
A316235
|
|
Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
|
5, 21, 29, 105, 365, 1135, 4802, 21363, 89321, 405822, 1896929, 8654183, 39947286, 186461083, 865540077, 4018601808, 18717997021, 87117032179, 405249228148, 1886517180747, 8782169235129, 40874255115294, 190262826619205
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 8*a(n-1) -18*a(n-2) +53*a(n-3) -296*a(n-4) +452*a(n-5) -403*a(n-6) +3468*a(n-7) -4562*a(n-8) +1149*a(n-9) -23130*a(n-10) +19382*a(n-11) -171*a(n-12) +94177*a(n-13) -133*a(n-14) +263*a(n-15) -187581*a(n-16) -221521*a(n-17) +36061*a(n-18) -489030*a(n-19) +719261*a(n-20) -438526*a(n-21) +2594002*a(n-22) -1012606*a(n-23) +2299876*a(n-24) -538884*a(n-25) +1117569*a(n-26) -5770547*a(n-27) -6300489*a(n-28) +2661457*a(n-29) -6840503*a(n-30) -1316472*a(n-31) +2599888*a(n-32) +7586989*a(n-33) +11769255*a(n-34) +8012401*a(n-35) +1019800*a(n-36) +7881110*a(n-37) -6645148*a(n-38) -12505143*a(n-39) -2077028*a(n-40) -9357637*a(n-41) -7446480*a(n-42) +5604247*a(n-43) +11546659*a(n-44) +2833491*a(n-45) +9556261*a(n-46) -276292*a(n-47) -7962752*a(n-48) -2786882*a(n-49) -6040141*a(n-50) -5095204*a(n-51) +2708402*a(n-52) +1344613*a(n-53) +716880*a(n-54) +2223844*a(n-55) +483640*a(n-56) -574020*a(n-57) -57314*a(n-58) +66872*a(n-59) -27032*a(n-60) -11336*a(n-61) +2312*a(n-62) +1168*a(n-63) +96*a(n-64) for n>67
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..1..1. .0..1..0..0. .0..1..1..0. .0..1..1..0. .0..1..1..1
..0..0..1..1. .1..1..0..1. .0..0..0..0. .1..1..1..1. .0..0..1..1
..0..0..1..0. .0..0..1..0. .1..1..1..1. .1..1..1..1. .0..0..1..0
..1..0..1..0. .0..1..1..1. .0..1..1..0. .0..1..1..1. .0..0..1..0
..0..0..1..1. .0..0..1..1. .1..1..1..1. .1..1..1..0. .1..0..1..1
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
