A205223 Number of (n+1)X6 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order

340, 868, 2072, 5424, 14220, 37308, 98924, 258612, 690332, 1801140, 4823028, 12573964, 33713996, 87894316, 235753764, 614834884, 1649053700, 4302525980, 11537536124, 30114608028, 80736058468, 210803561324, 565034328516

Offset

1,1

Comments

Column 5 of A205226

Links

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

Formula

Empirical: a(n) = a(n-1) +40*a(n-2) -39*a(n-3) -718*a(n-4) +679*a(n-5) +7622*a(n-6) -6938*a(n-7) -53004*a(n-8) +45901*a(n-9) +252266*a(n-10) -203943*a(n-11) -832037*a(n-12) +607427*a(n-13) +1879588*a(n-14) -1159999*a(n-15) -2801339*a(n-16) +1245590*a(n-17) +2575872*a(n-18) -454224*a(n-19) -1379084*a(n-20) -108556*a(n-21) +562152*a(n-22) -574600*a(n-23) -124432*a(n-24) +891456*a(n-25) -365592*a(n-26) -123520*a(n-27) +130144*a(n-28) -24768*a(n-29) +132288*a(n-30) +15744*a(n-31) -33152*a(n-32) +3072*a(n-33) -384*a(n-34) for n>36

Example

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

Crossrefs

Sequence in context: A236896 A076748 A306865 * A238040 A237959 A232514

Adjacent sequences: A205220 A205221 A205222 * A205224 A205225 A205226

Keyword

nonn

Author

R. H. Hardin Jan 23 2012

Status

approved