A260173 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001

409, 1001, 2598, 6973, 19701, 55849, 153286, 432380, 1232980, 3453740, 9694328, 27459576, 77441354, 217625342, 613977178, 1733263382, 4880225452, 13751170422, 38794513220, 109345894200, 308089966994, 868658498318, 2449053719350

Offset

1,1

Comments

Column 4 of A260177

Links

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

Formula

Empirical: a(n) = 5*a(n-3) +25*a(n-4) +28*a(n-5) +66*a(n-6) +125*a(n-7) -15*a(n-8) +52*a(n-9) +338*a(n-10) -543*a(n-11) -412*a(n-12) +519*a(n-13) -1486*a(n-14) -1060*a(n-15) -1116*a(n-16) -1720*a(n-17) +4181*a(n-18) +1919*a(n-19) -9646*a(n-20) -5684*a(n-21) -4344*a(n-22) -771*a(n-23) +167*a(n-24) -4981*a(n-25) -16062*a(n-26) -11196*a(n-27) -20502*a(n-28) -4062*a(n-29) +5277*a(n-30) -11378*a(n-31) +6709*a(n-32) +39407*a(n-33) +38408*a(n-34) +7952*a(n-35) +943*a(n-36) +15819*a(n-37) +3082*a(n-38) -12144*a(n-39) -17820*a(n-40) +4556*a(n-41) +8167*a(n-42) -3328*a(n-43) -6859*a(n-44) -4984*a(n-45) +5034*a(n-46) +1592*a(n-47) +356*a(n-48) -710*a(n-49) +346*a(n-50) +538*a(n-51) -60*a(n-52) -52*a(n-53) -168*a(n-54) for n>57

Example

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

Crossrefs

Cf. A260177

Sequence in context: A316934 A052354 A213079 * A321151 A052376 A201483

Adjacent sequences: A260170 A260171 A260172 * A260174 A260175 A260176

Keyword

nonn

Author

R. H. Hardin, Jul 17 2015

Status

approved