A207855 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically

15, 225, 1071, 7289, 44121, 279219, 1737981, 10873197, 67902955, 424387041, 2651860269, 16571735565, 103552803445, 647076103565, 4043412030973, 25266419946873, 157884983254865, 986593269768561, 6165025417156933

Offset

1,1

Comments

Column 5 of A207858

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +24*a(n-3) +154*a(n-4) +164*a(n-5) +908*a(n-6) -48*a(n-7) +2963*a(n-8) -8406*a(n-9) -32288*a(n-10) -41552*a(n-11) -64967*a(n-12) +27432*a(n-13) +54104*a(n-14) +636016*a(n-15) +805740*a(n-16) +103162*a(n-17) -1914744*a(n-18) -3070336*a(n-19) -960103*a(n-20) +192624*a(n-21) +871096*a(n-22) -313232*a(n-23) +1362214*a(n-24) +2175596*a(n-25) +182480*a(n-26) -81648*a(n-27) -370246*a(n-28) +133416*a(n-29) -282032*a(n-30) -734512*a(n-31) -175129*a(n-32) +122484*a(n-33) +83948*a(n-34) -38680*a(n-35) +81164*a(n-36) +59916*a(n-37) +22876*a(n-38) +1920*a(n-39) -22169*a(n-40) +6538*a(n-41) -1744*a(n-42) -4288*a(n-43) +141*a(n-44) -560*a(n-45) +120*a(n-46) -50*a(n-48) +42*a(n-49) +a(n-52)

Example

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

Crossrefs

Sequence in context: A207700 A207905 A208036 * A207423 A207738 A221966

Adjacent sequences: A207852 A207853 A207854 * A207856 A207857 A207858

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved