|
| |
|
|
A305363
|
|
Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
|
2, 45, 107, 398, 1532, 5465, 21691, 82625, 320130, 1249914, 4849312, 18947687, 73917602, 288506284, 1127216287, 4401832436, 17197042074, 67184504771, 262468813621, 1025481497968, 4006493089212, 15653505735334, 61159218053112
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 3*a(n-1) +7*a(n-2) +3*a(n-3) -58*a(n-4) -30*a(n-5) -30*a(n-6) +125*a(n-7) +151*a(n-8) +229*a(n-9) +460*a(n-10) +144*a(n-11) +1620*a(n-12) +944*a(n-13) +812*a(n-14) -6334*a(n-15) -17545*a(n-16) -26672*a(n-17) -21565*a(n-18) -19950*a(n-19) -27013*a(n-20) -15737*a(n-21) +106640*a(n-22) +326458*a(n-23) +474674*a(n-24) +456825*a(n-25) +322886*a(n-26) +323882*a(n-27) -48715*a(n-28) -1195501*a(n-29) -1744259*a(n-30) -2465476*a(n-31) -3654469*a(n-32) -3454317*a(n-33) -2767636*a(n-34) +426051*a(n-35) +4421796*a(n-36) +5532097*a(n-37) +6346005*a(n-38) +7552979*a(n-39) +5784347*a(n-40) +3998675*a(n-41) +1029839*a(n-42) -2095952*a(n-43) -2807250*a(n-44) -4239130*a(n-45) -4692718*a(n-46) -2620357*a(n-47) -1388185*a(n-48) -1499441*a(n-49) -347150*a(n-50) +375909*a(n-51) -50350*a(n-52) -126855*a(n-53) +12059*a(n-54) -130328*a(n-55) +2866*a(n-56) +48186*a(n-57) -47816*a(n-58) -154032*a(n-59) -97410*a(n-60) -11426*a(n-61) +9204*a(n-62) +13692*a(n-63) +2300*a(n-64) -2040*a(n-65) -480*a(n-66) for n>68
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..0..1. .0..0..0..0. .0..0..1..1. .0..1..0..0. .0..0..1..0
..1..1..1..1. .1..0..1..0. .1..1..0..0. .0..1..1..0. .0..1..0..1
..1..1..0..1. .1..1..1..1. .1..0..0..0. .0..0..1..0. .1..0..1..1
..1..0..0..0. .0..1..1..0. .0..0..0..1. .1..1..0..0. .0..1..1..1
..0..1..1..1. .1..1..0..0. .1..0..1..1. .1..0..0..1. .0..1..1..0
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
