A251289 Number of (n+1)X(5+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally

297, 2193, 12954, 94706, 577942, 4109933, 25654154, 178853600, 1134888362, 7800498387, 50090230067, 340784782367, 2207291572071, 14906727029792, 97157151617639, 652654217958931, 4273049848255227, 28593960218535652

Offset

1,1

Comments

Column 5 of A251292

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +88*a(n-2) -135*a(n-3) -2981*a(n-4) +3592*a(n-5) +53112*a(n-6) -48505*a(n-7) -569410*a(n-8) +364874*a(n-9) +3930122*a(n-10) -1540368*a(n-11) -17988232*a(n-12) +3272127*a(n-13) +55124431*a(n-14) -1161425*a(n-15) -113275406*a(n-16) -10826616*a(n-17) +154794982*a(n-18) +28341285*a(n-19) -137492855*a(n-20) -36207019*a(n-21) +76154295*a(n-22) +27994276*a(n-23) -24440737*a(n-24) -13266099*a(n-25) +3650459*a(n-26) +3432157*a(n-27) +109673*a(n-28) -359916*a(n-29) -80999*a(n-30) -2950*a(n-31) +430*a(n-32) +24*a(n-33) for n>34

Example

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

Crossrefs

Sequence in context: A037043 A253035 A253029 * A281132 A200855 A200582

Adjacent sequences: A251286 A251287 A251288 * A251290 A251291 A251292

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved