A261111 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

289, 790, 2902, 10268, 35934, 127038, 449132, 1582692, 5580762, 19696792, 69493124, 245136960, 864834010, 3051137218, 10764053222, 37974619476, 133971821170, 472641282700, 1667438793734, 5882591495818, 20753304044252

Offset

1,1

Comments

Column 6 of A261113

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-2) +17*a(n-3) +16*a(n-4) +45*a(n-5) +44*a(n-6) +a(n-7) -14*a(n-8) -72*a(n-9) -126*a(n-10) -168*a(n-11) +14*a(n-12) +436*a(n-13) +288*a(n-14) -354*a(n-15) -316*a(n-16) +132*a(n-17) +181*a(n-18) -2*a(n-19) -53*a(n-20) -25*a(n-21) -3*a(n-22) +a(n-23) +5*a(n-24) +2*a(n-25) +a(n-26) +a(n-27) for n>28

Example

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

Crossrefs

Cf. A261113

Sequence in context: A152852 A156572 A157990 * A218766 A188186 A112077

Adjacent sequences: A261108 A261109 A261110 * A261112 A261113 A261114

Keyword

nonn

Author

R. H. Hardin, Aug 08 2015

Status

approved