A260605 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101

241, 532, 1334, 3388, 8736, 22944, 59758, 156228, 410004, 1074706, 2810634, 7356614, 19275408, 50484816, 132179260, 346084882, 906235472, 2373216196, 6214897284, 16273805984, 42611987122, 111584761940, 292206789126

Offset

1,1

Comments

Column 4 of A260609

Links

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

Formula

Empirical: a(n) = 5*a(n-3) +21*a(n-4) +27*a(n-5) +29*a(n-6) -3*a(n-7) -99*a(n-8) -39*a(n-9) +194*a(n-10) +217*a(n-11) +274*a(n-12) +128*a(n-13) -364*a(n-14) -186*a(n-15) -21*a(n-16) -414*a(n-17) +418*a(n-18) +666*a(n-19) -73*a(n-20) -2*a(n-21) -272*a(n-22) -183*a(n-23) +66*a(n-24) -47*a(n-25) +280*a(n-26) +294*a(n-27) +147*a(n-28) +291*a(n-29) +70*a(n-30) -35*a(n-32) -39*a(n-33) -33*a(n-34) -34*a(n-35) -18*a(n-36) -4*a(n-37) for n>40

Example

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

Crossrefs

Cf. A260609

Sequence in context: A157961 A142233 A142275 * A097020 A163623 A142856

Adjacent sequences: A260602 A260603 A260604 * A260606 A260607 A260608

Keyword

nonn

Author

R. H. Hardin, Jul 29 2015

Status

approved