A260205 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001

1044, 2864, 15715, 71846, 359112, 1819901, 8929505, 44267361, 220591626, 1093197469, 5423252998, 26935491998, 133662286873, 663325778447, 3292652533635, 16341908119400, 81107178453353, 402565198408300

Offset

1,1

Comments

Column 6 of A260207

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) +66*a(n-3) +95*a(n-4) +43*a(n-5) -720*a(n-6) -1911*a(n-7) -1442*a(n-8) +3264*a(n-9) +10821*a(n-10) +19141*a(n-11) +2814*a(n-12) -66628*a(n-13) -89804*a(n-14) +31181*a(n-15) +153550*a(n-16) +92838*a(n-17) +40230*a(n-18) -70110*a(n-19) -229684*a(n-20) -107631*a(n-21) -94711*a(n-22) +28881*a(n-23) +390574*a(n-24) +124645*a(n-25) -26599*a(n-26) -25097*a(n-27) -277598*a(n-28) +259486*a(n-29) +159878*a(n-30) -12870*a(n-31) -21470*a(n-32) -444709*a(n-33) -78037*a(n-34) -123573*a(n-35) +71536*a(n-36) +64021*a(n-37) -594*a(n-38) +19314*a(n-39) -12660*a(n-40) +3610*a(n-41) +920*a(n-42) -1448*a(n-43) +704*a(n-44) -128*a(n-45) for n>46

Example

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

Crossrefs

Cf. A260207

Sequence in context: A252618 A231112 A213811 * A224604 A045027 A345514

Adjacent sequences: A260202 A260203 A260204 * A260206 A260207 A260208

Keyword

nonn

Author

R. H. Hardin, Jul 19 2015

Status

approved