A186897 Number of (n+1)X5 binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

234, 406, 1692, 5401, 14437, 49303, 171877, 608194, 1974583, 6828851, 23697904, 82511604, 280821141, 969113166, 3356595204, 11627225657, 40028089405, 138218574688, 478039503452, 1653233404522, 5707628406749, 19717537044734

Offset

1,1

Comments

Column 4 of A186902

Links

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

Formula

Empirical: a(n)=2*a(n-1)+4*a(n-2)+a(n-3)+55*a(n-4)-71*a(n-5)-270*a(n-6)-75*a(n-7)-541*a(n-8)+92*a(n-9)+3469*a(n-10)+2523*a(n-11)-1411*a(n-12)+2361*a(n-13)-3307*a(n-14)-5191*a(n-15)+46033*a(n-16)+47267*a(n-17)-24164*a(n-18)-25983*a(n-19)-130840*a(n-20)-344285*a(n-21)-394773*a(n-22)-421021*a(n-23)-365160*a(n-24)-79912*a(n-25)-75973*a(n-26)-81330*a(n-27)+49938*a(n-28)-268895*a(n-29)-35251*a(n-30)-11215*a(n-31)-844391*a(n-32)-825334*a(n-33)-963512*a(n-34)-938042*a(n-35)+244059*a(n-36)+455064*a(n-37)+214925*a(n-38)+142856*a(n-39)-242661*a(n-40)-340438*a(n-41)-154625*a(n-42)+10260*a(n-43)+74203*a(n-44)+100145*a(n-45)+49482*a(n-46)+8674*a(n-47)+9592*a(n-48)+3430*a(n-49)-305*a(n-50)+1258*a(n-51)+598*a(n-52)-100*a(n-53)-77*a(n-54)-21*a(n-55)-4*a(n-56) for n>62

Example

Some solutions for 3X5
..0..1..0..0..1....0..1..1..0..0....0..1..0..0..1....1..1..1..1..0
..0..1..1..0..1....0..0..1..1..1....1..1..1..0..1....0..0..0..1..1
..0..0..1..0..0....0..0..0..0..0....1..0..1..0..0....0..1..1..1..0

Crossrefs

Sequence in context: A264021 A375344 A256086 * A184450 A338391 A304615

Adjacent sequences: A186894 A186895 A186896 * A186898 A186899 A186900

Keyword

nonn

Author

R. H. Hardin Feb 28 2011

Status

approved