A202792 Number of nX5 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically

12, 724, 23436, 702846, 21649928, 669872090, 20696263392, 639259508770, 19746821708510, 609991818060458, 18842950812606880, 582067589653914988, 17980345177885556288, 555421459716439841384, 17157234238650483438818

Offset

1,1

Comments

Column 5 of A202795

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -5*a(n-2) +1820*a(n-3) +3756*a(n-4) +14798*a(n-5) +39177*a(n-6) -33008*a(n-7) -120144*a(n-8) -276809*a(n-9) -534984*a(n-10) +521787*a(n-11) +1495342*a(n-12) +136066*a(n-13) -826372*a(n-14) -258636*a(n-15) -55508*a(n-16) -65340*a(n-17) +26654*a(n-18) +9760*a(n-19) +1452*a(n-20) +3060*a(n-21)

Example

Some solutions for n=3
..1..1..1..0..0....0..1..1..1..0....0..0..0..0..1....0..0..1..0..1
..1..1..1..1..1....0..1..0..0..1....0..1..0..0..1....1..0..0..1..0
..1..1..0..1..1....0..0..0..1..1....1..1..1..0..0....1..0..0..0..1

Crossrefs

Sequence in context: A061025 A042749 A219568 * A341560 A317337 A089036

Adjacent sequences: A202789 A202790 A202791 * A202793 A202794 A202795

Keyword

nonn

Author

R. H. Hardin Dec 24 2011

Status

approved