|
|
A256948
|
|
Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically
|
|
1
|
|
|
2554, 13349, 66542, 262251, 844499, 2396710, 6268245, 15240141, 34366037, 73532563, 151376143, 300641702, 577321492, 1080395302, 1979809481, 3555813611, 6272004915, 10905756945, 18725699038, 31765068089, 53317281722, 88726986314
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 6*a(n-1) -13*a(n-2) +14*a(n-3) -13*a(n-4) +a(n-5) +42*a(n-6) -58*a(n-7) +36*a(n-8) -46*a(n-9) -11*a(n-10) +110*a(n-11) -129*a(n-12) +178*a(n-13) -64*a(n-14) -139*a(n-15) +99*a(n-16) -198*a(n-17) +230*a(n-18) -37*a(n-19) +105*a(n-20) -130*a(n-21) +155*a(n-22) -101*a(n-23) -134*a(n-24) +232*a(n-25) -533*a(n-26) +202*a(n-27) +452*a(n-28) +96*a(n-29) -732*a(n-30) +309*a(n-31) +761*a(n-32) -681*a(n-33) -702*a(n-34) +688*a(n-35) +552*a(n-36) -938*a(n-37) -12*a(n-38) +892*a(n-39) -172*a(n-40) -652*a(n-41) +252*a(n-42) +324*a(n-43) -296*a(n-44) -112*a(n-45) +192*a(n-46) +56*a(n-47) -80*a(n-48) -16*a(n-49) +16*a(n-50) for n>63
|
|
EXAMPLE
|
Some solutions for n=3
..1..1..0..0....0..0..0..0....0..1..1..0....0..1..1..1....0..0..0..1
..0..0..1..1....0..0..1..0....0..0..1..0....0..0..0..1....1..0..0..1
..0..0..1..1....1..0..1..0....1..0..0..1....0..0..1..1....0..0..1..1
..1..1..1..0....0..1..1..0....0..1..0..0....1..1..1..1....0..1..0..1
..0..0..0..0....0..1..1..0....1..1..1..1....0..0..0..1....0..1..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|