A185482 Number of (n+1)X5 binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

234, 3262, 35672, 431655, 5026765, 59486818, 699638196, 8249951270, 97185031842, 1145303393559, 13494995620073, 159020423665498, 1873795331481368, 22079833583812802, 260176271590025408, 3065775010848252800

Offset

1,1

Comments

Column 4 of A185487

Links

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

Formula

Empirical: a(n)=26*a(n-1)-236*a(n-2)+814*a(n-3)+1565*a(n-4)-29538*a(n-5)+146863*a(n-6)-318823*a(n-7)-435036*a(n-8)+5444956*a(n-9)-17902941*a(n-10)+28225408*a(n-11)-1895995*a(n-12)-107672699*a(n-13)+312121219*a(n-14)-479672797*a(n-15)+272036561*a(n-16)+558503978*a(n-17)-1778256376*a(n-18)+2608138499*a(n-19)-1969964820*a(n-20)-434174466*a(n-21)+3550563700*a(n-22)-5118103667*a(n-23)+1902623000*a(n-24)+6094839934*a(n-25)-14073327750*a(n-26)+16181130420*a(n-27)-6594079029*a(n-28)-15154396851*a(n-29)+37841875831*a(n-30)-44532768168*a(n-31)+29630377785*a(n-32)-988630218*a(n-33)-31151411668*a(n-34)+49770630368*a(n-35)-40507033365*a(n-36)+11881043492*a(n-37)+12500110512*a(n-38)-18649107624*a(n-39)+11529698746*a(n-40)-1968144150*a(n-41)-3380044951*a(n-42)+4062068711*a(n-43)-2847802902*a(n-44)+1413249781*a(n-45)-481786272*a(n-46)+107463496*a(n-47)-10679320*a(n-48)-2052402*a(n-49)+1072196*a(n-50)-153272*a(n-51)+12072*a(n-52) for n>55

Example

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

Crossrefs

Sequence in context: A252771 A251515 A251508 * A036209 A077803 A049857

Adjacent sequences: A185479 A185480 A185481 * A185483 A185484 A185485

Keyword

nonn

Author

R. H. Hardin Jan 28 2011

Status

approved