A183807 1/16 the number of (n+1)X6 binary arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor

81, 1011, 11619, 143191, 1701473, 20745787, 249227639, 3023598287, 36466869997, 441485256003, 5332487690091, 64503151844829, 779540374278977, 9426365555316415, 113945203695071531, 1377667666898414589

Offset

1,1

Comments

Column 5 of A183811

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=15*a(n-1)+110*a(n-2)-2305*a(n-3)-891*a(n-4)+125083*a(n-5)-243502*a(n-6)-2877148*a(n-7)+8795527*a(n-8)+27727447*a(n-9)-101226891*a(n-10)-43240980*a(n-11)-79975763*a(n-12)-680699282*a(n-13)+10953583229*a(n-14)-3221230812*a(n-15)-82978052876*a(n-16)+72785470699*a(n-17)+134369376084*a(n-18)-124679575504*a(n-19)+843000278192*a(n-20)-1580151635606*a(n-21)-2695042718660*a(n-22)+5684097111755*a(n-23)-3975339670937*a(n-24)+6858358660190*a(n-25)+17395248113157*a(n-26)-46405408055301*a(n-27)+3240133345994*a(n-28)+21004315650603*a(n-29)-16124690699477*a(n-30)+66278718366899*a(n-31)-35683008630253*a(n-32)-22465044442773*a(n-33)+2356096909734*a(n-34)-17220973586580*a(n-35)+22524996368520*a(n-36)

Example

Some solutions with upper left block zero for 3X6
..0..0..1..1..0..0....0..0..0..1..0..0....0..0..0..1..1..0....0..0..0..1..1..1
..0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..0..0..0....0..0..1..1..1..0
..1..1..1..0..0..1....0..1..0..0..1..0....0..1..0..0..0..1....1..1..0..0..1..0

Crossrefs

Sequence in context: A205729 A237226 A237159 * A264203 A236047 A264000

Adjacent sequences: A183804 A183805 A183806 * A183808 A183809 A183810

Keyword

nonn

Author

R. H. Hardin Jan 07 2011

Status

approved