A240786 Number of 5Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.

16, 111, 459, 2167, 10150, 47920, 226532, 1071982, 5074441, 24028807, 113785341, 538857251, 2551907524, 12085420318, 57234822524, 271056496272, 1283688860005, 6079388685605, 28791225250367, 136351659911471, 645744522623364

Offset: 1

Author

R. H. Hardin, Apr 12 2014

Keywords

• nonn

Comments

Row 5 of A240783

Examples

			Some solutions for n=4
..0..1..0..1....0..1..0..1....0..1..1..0....0..0..1..0....0..1..1..0
..1..0..0..1....1..1..0..0....1..1..1..0....0..0..1..1....0..1..1..1
..0..0..1..1....1..0..1..0....1..1..1..0....0..0..1..1....1..0..1..1
..0..0..1..1....0..1..0..1....1..1..1..0....1..0..1..0....1..0..0..1
..0..1..0..1....1..0..1..0....0..1..1..0....1..0..1..0....1..0..0..1
		

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -35*a(n-2) +50*a(n-3) +23*a(n-4) -204*a(n-5) +114*a(n-6) +684*a(n-7) -1284*a(n-8) -309*a(n-9) +4412*a(n-10) -5481*a(n-11) -90*a(n-12) +4826*a(n-13) -3964*a(n-14) -3408*a(n-15) +3143*a(n-16) +3475*a(n-17) -3191*a(n-18) +7943*a(n-19) +2119*a(n-20) +1380*a(n-21) -8241*a(n-22) -8523*a(n-23) +3733*a(n-24) -79*a(n-25) +1925*a(n-26) +1275*a(n-27) +131*a(n-28) -147*a(n-29) -286*a(n-30) for n>34