A228802 Number of 7Xn binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.

64, 233, 12444, 135768, 3459357, 53992646, 1104367784, 19393508581, 370265354930, 6753498762208, 126219807740277, 2328950576310612, 43257528262721468, 800768205769855817, 14848408425344987460

Offset

1,1

Comments

Row 7 of A228796

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..0....1..0..0..0....1..0..0..1....1..0..0..1....1..0..0..1
..0..0..0..0....0..0..1..0....0..0..1..0....0..0..0..0....0..0..1..0
..0..1..0..1....0..1..0..0....0..1..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....1..0..0..1....0..1..0..0....0..0..0..0....0..1..0..1
..0..0..0..1....0..0..1..0....0..0..0..0....1..0..0..0....1..0..0..0
..0..1..0..1....0..0..0..0....0..1..0..0....0..0..0..1....1..0..0..0
..0..0..0..0....0..1..0..0....0..0..0..0....0..0..1..0....0..0..1..0

Crossrefs

Sequence in context: A016994 A258732 A279714 * A222547 A218524 A188863

Adjacent sequences: A228799 A228800 A228801 * A228803 A228804 A228805

Keyword

nonn

Author

R. H. Hardin Sep 04 2013

Status

approved