A207920 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically

16, 256, 1152, 5371, 21145, 86255, 366330, 1520815, 6276388, 26127518, 108694123, 451081599, 1873587315, 7785944494, 32343169917, 134348128428, 558128458658, 2318624670321, 9631925841375, 40012938910533, 166222764096548

Offset

1,1

Comments

Row 5 of A207918

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +37*a(n-3) +59*a(n-4) +24*a(n-5) -269*a(n-6) -770*a(n-7) -667*a(n-8) +1180*a(n-9) +3322*a(n-10) +2975*a(n-11) -1689*a(n-12) -6648*a(n-13) -6577*a(n-14) -387*a(n-15) +5843*a(n-16) +7354*a(n-17) +3010*a(n-18) -2018*a(n-19) -3068*a(n-20) -2386*a(n-21) +556*a(n-22) +777*a(n-23) +764*a(n-24) -259*a(n-25) -552*a(n-26) -503*a(n-27) -97*a(n-28) +10*a(n-29) +168*a(n-30) +19*a(n-31) +51*a(n-32) -19*a(n-33) +10*a(n-34) -3*a(n-35) +3*a(n-36) for n>38

Example

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

Crossrefs

Sequence in context: A223190 A207469 A207521 * A208700 A207256 A207951

Adjacent sequences: A207917 A207918 A207919 * A207921 A207922 A207923

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved