|
| |
|
|
A297855
|
|
Number of nX5 0..1 arrays with every element equal to 1, 2 or 4 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
|
3, 23, 21, 53, 45, 81, 130, 186, 203, 313, 533, 737, 1132, 1722, 2282, 3719, 5672, 8216, 12567, 18631, 27784, 41385, 63526, 95485, 142633, 216863, 319973, 486432, 733798, 1104890, 1675037, 2510078, 3780690, 5691817, 8606387, 13011832, 19628345
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 3*a(n-3) +3*a(n-4) +3*a(n-5) +2*a(n-6) -a(n-7) -11*a(n-8) -16*a(n-9) -23*a(n-10) -11*a(n-11) +16*a(n-12) +25*a(n-13) +41*a(n-14) +4*a(n-15) -45*a(n-16) -25*a(n-17) -28*a(n-18) +90*a(n-19) +162*a(n-20) +128*a(n-21) +113*a(n-22) -175*a(n-23) -215*a(n-24) -261*a(n-25) -113*a(n-26) +119*a(n-27) +260*a(n-28) +151*a(n-29) +142*a(n-30) -421*a(n-31) -438*a(n-32) -840*a(n-33) -376*a(n-34) +213*a(n-35) +1246*a(n-36) +1426*a(n-37) +587*a(n-38) -1027*a(n-39) -1652*a(n-40) -938*a(n-41) +731*a(n-42) +1379*a(n-43) +1500*a(n-44) +927*a(n-45) +785*a(n-46) +387*a(n-47) -935*a(n-48) -2457*a(n-49) -3071*a(n-50) -1858*a(n-51) +1321*a(n-52) +3166*a(n-53) +2512*a(n-54) -460*a(n-55) -3218*a(n-56) -2132*a(n-57) +448*a(n-58) +2336*a(n-59) +1574*a(n-60) -478*a(n-61) -478*a(n-62) +520*a(n-63) +948*a(n-64) -112*a(n-65) -1672*a(n-66) -1288*a(n-67) +92*a(n-68) +1192*a(n-69) +992*a(n-70) +16*a(n-71) -488*a(n-72) -392*a(n-73) -64*a(n-74) +96*a(n-75) +64*a(n-76) for n>81
|
|
|
EXAMPLE
|
Some solutions for n=7
..0..1..1..1..1. .0..1..0..1..1. .0..1..1..1..0. .0..1..0..1..1
..1..0..0..0..0. .0..1..0..0..1. .1..0..0..0..1. .1..0..0..1..0
..0..1..0..0..1. .1..1..1..1..1. .0..0..1..0..0. .0..1..1..1..0
..1..1..1..1..1. .0..0..1..0..0. .1..1..0..1..1. .1..0..1..0..1
..0..0..1..0..0. .1..0..1..0..1. .1..0..1..0..1. .1..0..1..0..1
..1..0..1..0..1. .0..1..0..0..1. .1..1..0..1..1. .1..0..1..0..1
..1..0..0..0..1. .1..1..0..1..0. .0..0..1..0..0. .1..0..1..0..1
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
