A203282 Number of nX5 binary arrays with every element neighboring horizontally or vertically both a 0 and a 1

0, 36, 372, 4624, 72852, 996004, 14644480, 210076036, 3037508500, 43841659456, 632865629460, 9136533928900, 131888305215984, 1903927875896484, 27484425467991212, 396757552143468096, 5727474581359467924

Offset

1,2

Comments

Column 5 of A203285

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -638*a(n-3) +678*a(n-4) +14260*a(n-5) -31318*a(n-6) -77888*a(n-7) +230062*a(n-8) +800738*a(n-9) -1847062*a(n-10) -12874076*a(n-11) +36370882*a(n-12) -2877388*a(n-13) -108883984*a(n-14) +139903240*a(n-15) +22915510*a(n-16) -94574920*a(n-17) +86030666*a(n-18) -34150532*a(n-19) -291157270*a(n-20) +495606258*a(n-21) -137024746*a(n-22) +41071176*a(n-23) +76637263*a(n-24) -154537901*a(n-25) -354299940*a(n-26) +575474886*a(n-27) -86771088*a(n-28) +143317188*a(n-29) -267467184*a(n-30) +67890312*a(n-31) +62145792*a(n-32) -65610000*a(n-33) -35901792*a(n-35) +34012224*a(n-36)

Example

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

Crossrefs

Sequence in context: A223307 A244795 A222492 * A071232 A135828 A250805

Adjacent sequences: A203279 A203280 A203281 * A203283 A203284 A203285

Keyword

nonn

Author

R. H. Hardin Dec 31 2011

Status

approved