A186844 Number of (n+1)X4 binary arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

162, 970, 6138, 36988, 224714, 1371258, 8335676, 50707346, 308646310, 1877813892, 11425402866, 69522265266, 423014974740, 2573883848370, 15661241415990, 95293069634608, 579824378872438, 3528028603215862, 21466809826900456

Offset

1,1

Comments

Column 3 of A186850

Links

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

Formula

Empirical: a(n)=2*a(n-1)+11*a(n-2)+63*a(n-3)+112*a(n-4)+120*a(n-5)+110*a(n-6)-849*a(n-7)-1709*a(n-8)-1167*a(n-9)+1006*a(n-10)+3341*a(n-11)+2742*a(n-12)+2484*a(n-13)-161*a(n-14)+363*a(n-15)-1203*a(n-16)+126*a(n-17)-1692*a(n-18)+806*a(n-19)-426*a(n-20)+204*a(n-21)+32*a(n-22) for n>23

Example

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

Crossrefs

Sequence in context: A206210 A044985 A302283 * A319915 A302731 A206145

Adjacent sequences: A186841 A186842 A186843 * A186845 A186846 A186847

Keyword

nonn

Author

R. H. Hardin Feb 27 2011

Status

approved