A260244 Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.

635, 1235, 3287, 5733, 14045, 42143, 85491, 178543, 492457, 1191315, 2445353, 5956161, 15293067, 33742487, 75896973, 191097599, 450742619, 1002739961, 2404247583, 5842913003, 13329225455, 30884432185, 74706438775, 175270605465

Offset

1,1

Comments

Column 4 of A260248.

Links

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

Formula

Empirical: a(n) = 14*a(n-3) +19*a(n-4) +6*a(n-5) -68*a(n-6) -155*a(n-7) -159*a(n-8) +51*a(n-9) +488*a(n-10) +727*a(n-11) +604*a(n-12) -416*a(n-13) -1228*a(n-14) -1897*a(n-15) -678*a(n-16) +24*a(n-17) +2380*a(n-18) +2386*a(n-19) +3096*a(n-20) -1701*a(n-21) -5002*a(n-22) -8742*a(n-23) -717*a(n-24) +7855*a(n-25) +11980*a(n-26) +1057*a(n-27) -6122*a(n-28) -7163*a(n-29) -3418*a(n-30) -2083*a(n-31) -968*a(n-32) -530*a(n-33) +734*a(n-34) +514*a(n-35) +1238*a(n-36) +874*a(n-37) +152*a(n-38) -58*a(n-39) -209*a(n-40) -66*a(n-41) -20*a(n-42) +9*a(n-43) -5*a(n-44) -2*a(n-45) for n>47.

Example

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

Crossrefs

Cf. A260248.

Sequence in context: A177214 A252124 A112137 * A250581 A061623 A253506

Adjacent sequences: A260241 A260242 A260243 * A260245 A260246 A260247

Keyword

nonn

Author

R. H. Hardin, Jul 20 2015

Status

approved