A188704 Number of nX7 binary arrays without the pattern 0 0 diagonally or vertically

128, 987, 30825, 438048, 9413801, 161506225, 3118943536, 56585607231, 1060220669261, 19540000913840, 363127600370277, 6720433284624777, 124629114169963492, 2308929622288774467, 42796685753793213877

Offset

1,1

Comments

Column 7 of A188706

Links

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

Formula

Empirical: a(n) = a(n-1) +288*a(n-2) +1417*a(n-3) -11199*a(n-4) -59098*a(n-5) +236338*a(n-6) +948288*a(n-7) -3278724*a(n-8) -6872522*a(n-9) +27696998*a(n-10) +17458752*a(n-11) -128873759*a(n-12) +35614933*a(n-13) +298960774*a(n-14) -258487597*a(n-15) -292412017*a(n-16) +426432960*a(n-17) +93229829*a(n-18) -323469437*a(n-19) +28233040*a(n-20) +135906279*a(n-21) -29253017*a(n-22) -34819910*a(n-23) +8867758*a(n-24) +5748836*a(n-25) -1311708*a(n-26) -619302*a(n-27) +94650*a(n-28) +41064*a(n-29) -2481*a(n-30) -1413*a(n-31) -22*a(n-32) +17*a(n-33) +a(n-34)

Example

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

Crossrefs

Sequence in context: A297643 A224043 A188841 * A297344 A183976 A183972

Adjacent sequences: A188701 A188702 A188703 * A188705 A188706 A188707

Keyword

nonn

Author

R. H. Hardin Apr 08 2011

Status

approved