A186122 Number of (n+1)X4 binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

18, 94, 262, 946, 2978, 10502, 34678, 120290, 405274, 1395998, 4745006, 16291134, 55591062, 190569866, 651446994, 2231635906, 7634948674, 26146587758, 89488608966, 306421554338, 1048950425454, 3591569027638, 12295940315506

Offset

1,1

Comments

Column 3 of A186128

Links

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

Formula

Empirical: a(n)=7*a(n-1)-a(n-2)-83*a(n-3)+105*a(n-4)+366*a(n-5)-566*a(n-6)-920*a(n-7)+1225*a(n-8)+1920*a(n-9)-1210*a(n-10)-3435*a(n-11)-521*a(n-12)+4429*a(n-13)+4158*a(n-14)-3945*a(n-15)-6055*a(n-16)+1059*a(n-17)+4227*a(n-18)+1217*a(n-19)-275*a(n-20)-965*a(n-21)-1160*a(n-22)-245*a(n-23)+357*a(n-24)+391*a(n-25)+5*a(n-26)-292*a(n-27)-120*a(n-28)+80*a(n-29)+80*a(n-30)+64*a(n-31) for n>33

Example

Some solutions for 3X4
..1..0..0..0....1..1..0..0....1..0..0..1....1..0..0..0....0..1..0..0
..1..0..0..0....1..1..1..1....0..0..0..0....1..0..0..0....0..0..0..1
..0..0..1..1....0..0..1..1....0..1..1..0....1..0..0..0....1..0..0..1

Crossrefs

Sequence in context: A117735 A041624 A227812 * A275253 A034725 A047929

Adjacent sequences: A186119 A186120 A186121 * A186123 A186124 A186125

Keyword

nonn

Author

R. H. Hardin Feb 13 2011

Status

approved