|
|
A304923
|
|
Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
16, 22, 73, 266, 1054, 4186, 16158, 63555, 251536, 988178, 3881249, 15283765, 60169598, 236666582, 931151693, 3664515375, 14419463010, 56735373146, 223247607871, 878464272129, 3456612805830, 13601219460000, 53519079374945
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 3*a(n-1) +3*a(n-2) +15*a(n-3) -21*a(n-4) -101*a(n-5) -119*a(n-6) +168*a(n-7) +750*a(n-8) +338*a(n-9) -1047*a(n-10) -1984*a(n-11) -170*a(n-12) +2290*a(n-13) +3270*a(n-14) -457*a(n-15) -3277*a(n-16) -3185*a(n-17) +659*a(n-18) +2939*a(n-19) +2559*a(n-20) -532*a(n-21) -2150*a(n-22) -1076*a(n-23) +37*a(n-24) +823*a(n-25) +638*a(n-26) -122*a(n-27) -97*a(n-28) -116*a(n-29) -96*a(n-30) +59*a(n-31) -2*a(n-32) -8*a(n-33) +10*a(n-34) for n>41
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..0..0..0. .0..0..0..1..0. .0..1..0..0..0. .0..0..0..0..0
..0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..0. .1..0..0..1..1
..0..0..0..0..0. .0..0..0..0..0. .0..0..1..0..1. .0..0..0..1..1
..0..0..0..0..1. .0..1..1..0..0. .0..1..0..0..0. .1..0..0..0..0
..0..0..1..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|