A260473 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

840, 2562, 13198, 51552, 228287, 1095328, 4771920, 20881559, 95279821, 425856847, 1884583524, 8455381667, 37878158698, 168740477794, 754075134087, 3373768933461, 15065098940991, 67292893064782, 300807873404901

Offset

1,1

Comments

Column 6 of A260475

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +61*a(n-3) +47*a(n-4) -60*a(n-5) -990*a(n-6) -1180*a(n-7) +354*a(n-8) +8249*a(n-9) +7597*a(n-10) -2933*a(n-11) -30551*a(n-12) -20348*a(n-13) +5544*a(n-14) +63469*a(n-15) +26659*a(n-16) -6985*a(n-17) -78855*a(n-18) -15509*a(n-19) -12385*a(n-20) +39531*a(n-21) +12054*a(n-22) +85518*a(n-23) +66382*a(n-24) -15499*a(n-25) -168797*a(n-26) -83743*a(n-27) +112672*a(n-28) -36620*a(n-29) -121694*a(n-30) -110222*a(n-31) +624893*a(n-32) +313958*a(n-33) -79390*a(n-34) -1353319*a(n-35) -160693*a(n-36) +287985*a(n-37) +1390733*a(n-38) -156458*a(n-39) -359710*a(n-40) -1048350*a(n-41) +317642*a(n-42) +250783*a(n-43) +577850*a(n-44) -66442*a(n-45) -96962*a(n-46) -161332*a(n-47) -21930*a(n-48) -4800*a(n-49) +17136*a(n-50) for n>57

Example

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

Crossrefs

Cf. A260475

Sequence in context: A045477 A232099 A005952 * A335141 A177021 A276161

Adjacent sequences: A260470 A260471 A260472 * A260474 A260475 A260476

Keyword

nonn

Author

R. H. Hardin, Jul 26 2015

Status

approved