A253696 Number of (n+1)X(6+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

1736, 1026, 968, 1262, 1914, 3042, 5030, 7800, 12646, 20932, 34308, 57610, 95600, 156264, 261038, 432986, 717482, 1198642, 1983722, 3292778, 5489662, 9100640, 15142050, 25197734, 41800394, 69565444, 115664072, 192093602, 319650222

Offset

1,1

Comments

Column 6 of A253698

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 3*a(n-2) +2*a(n-3) -a(n-4) -a(n-6) -13*a(n-7) -8*a(n-8) +9*a(n-9) -3*a(n-10) +7*a(n-11) +37*a(n-12) -3*a(n-13) -22*a(n-14) +24*a(n-15) -7*a(n-16) -37*a(n-17) +11*a(n-18) -a(n-19) -26*a(n-20) +11*a(n-21) +11*a(n-22) -7*a(n-23) +7*a(n-24) +6*a(n-25) -2*a(n-26) +2*a(n-27) +2*a(n-28) for n>33

Example

Some solutions for n=4
..1..0..0..0..0..0..0....0..1..0..0..1..1..0....1..1..1..0..1..1..0
..0..1..0..1..0..1..0....0..0..1..1..0..1..1....0..1..1..1..0..0..1
..0..0..0..0..0..0..0....1..1..0..1..1..0..0....0..1..0..0..1..0..1
..0..1..0..1..0..1..0....0..1..1..0..0..1..0....0..0..1..0..1..0..0
..0..0..0..0..0..0..1....1..0..0..1..0..1..1....1..1..1..0..0..1..1

Crossrefs

Sequence in context: A083606 A280927 A095847 * A253703 A235014 A185766

Adjacent sequences: A253693 A253694 A253695 * A253697 A253698 A253699

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved