A184683 Number of (n+1)X7 binary arrays with every 2X2 subblock singular

1552, 45392, 909520, 21547024, 476660624, 10876933264, 245133874960, 5556396815504, 125663816659728, 2845061488472976, 64387245566119440, 1457456269843957904, 32988377007885609744, 746694792891303623056

Offset

1,1

Comments

Column 6 of A184686

Links

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

Formula

Empirical: a(n)=56*a(n-1)-1052*a(n-2)+4920*a(n-3)+87215*a(n-4)-1275080*a(n-5)+4248374*a(n-6)+28043568*a(n-7)-257190864*a(n-8)+336187440*a(n-9)+3401007808*a(n-10)-13508494272*a(n-11)-5065367296*a(n-12)+118586597376*a(n-13)-155918166016*a(n-14)-382474903552*a(n-15)+1052692692992*a(n-16)+138988113920*a(n-17)-2622368481280*a(n-18)+1618343657472*a(n-19)+2637273628672*a(n-20)-2971728347136*a(n-21)-751046754304*a(n-22)+1836551503872*a(n-23)-237498269696*a(n-24)-373930590208*a(n-25)+107911053312*a(n-26)

Example

Some solutions for 3X7
..1..1..0..0..0..0..1....0..1..1..1..0..0..1....0..0..1..0..1..0..1
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....1..0..1..0..0..0..1
..0..1..1..0..1..1..0....0..0..1..0..1..1..1....0..0..1..0..0..0..0

Crossrefs

Sequence in context: A252053 A252046 A252045 * A235306 A203501 A229434

Adjacent sequences: A184680 A184681 A184682 * A184684 A184685 A184686

Keyword

nonn

Author

R. H. Hardin Jan 19 2011

Status

approved