A228759 Number of 7Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.

64, 377, 13386, 182288, 3990739, 67970044, 1316714732, 23857469157, 447258711806, 8241043078032, 153166086017419, 2834527196647128, 52566815845439784, 973865461678268901, 18050953034169454470

Offset

1,1

Comments

Row 7 of A228754

Links

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

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 n=4
..1..0..0..1....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..1
..0..0..0..0....0..0..1..0....1..0..0..0....1..0..0..0....0..1..0..0
..1..0..1..0....1..0..1..0....0..0..1..0....1..0..0..0....0..0..0..1
..1..0..0..0....1..0..1..0....0..0..1..0....0..1..0..1....1..0..0..0
..0..0..1..0....1..0..1..0....0..0..0..0....0..0..0..0....1..0..0..0
..1..0..0..1....1..0..1..0....1..0..0..1....0..1..0..1....0..0..0..1
..0..0..0..1....1..0..1..0....0..0..0..1....0..1..0..0....0..1..0..1

Crossrefs

Sequence in context: A188840 A188703 A297343 * A220976 A249984 A221598

Adjacent sequences: A228756 A228757 A228758 * A228760 A228761 A228762

Keyword

nonn

Author

R. H. Hardin Sep 02 2013

Status

approved