A263796 Number of (n+1)X(5+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nonincreasing.

4, 4, 14, 17, 61, 130, 494, 1435, 4917, 13962, 41366, 107284, 280438, 666212, 1574783, 3468753, 7560914, 15618901, 31856173, 62297164, 120205886, 224230549, 412782291, 739028663, 1306513751, 2256420867, 3851037496, 6442700456

Offset: 1

Author

R. H. Hardin, Oct 26 2015

Keywords

• nonn

Comments

Column 5 of A263799

Examples

			Some solutions for n=5
..1..1..1..1..0..0....1..1..1..1..0..0....1..1..1..1..0..0....1..1..1..1..1..1
..1..1..1..1..0..0....1..1..0..0..1..1....1..1..0..0..0..0....1..1..1..1..1..1
..1..1..1..1..0..0....1..0..1..0..1..0....1..0..1..0..1..0....1..1..1..1..0..0
..1..1..1..1..0..0....1..0..0..1..0..0....1..0..0..1..1..1....1..1..1..1..0..0
..1..1..0..0..1..1....0..1..1..0..1..1....0..0..1..0..0..1....1..1..0..0..0..0
..1..1..0..0..1..1....0..1..0..0..1..0....0..0..0..0..0..0....1..1..0..0..0..0
		

Links

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

Crossrefs

Cf. A263799

Formula

Empirical: a(n) = a(n-1) +18*a(n-2) -18*a(n-3) -153*a(n-4) +153*a(n-5) +816*a(n-6) -816*a(n-7) -3060*a(n-8) +3060*a(n-9) +8568*a(n-10) -8568*a(n-11) -18564*a(n-12) +18564*a(n-13) +31824*a(n-14) -31824*a(n-15) -43758*a(n-16) +43758*a(n-17) +48620*a(n-18) -48620*a(n-19) -43758*a(n-20) +43758*a(n-21) +31824*a(n-22) -31824*a(n-23) -18564*a(n-24) +18564*a(n-25) +8568*a(n-26) -8568*a(n-27) -3060*a(n-28) +3060*a(n-29) +816*a(n-30) -816*a(n-31) -153*a(n-32) +153*a(n-33) +18*a(n-34) -18*a(n-35) -a(n-36) +a(n-37)