A259959 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001

808, 3227, 18681, 95505, 501606, 2680028, 14134043, 74413321, 393674107, 2081832486, 10993767973, 58065668063, 306806287833, 1621097081522, 8564539558608, 45246470436052, 239045296359362, 1262950320065087

Offset

1,1

Comments

Column 5 of A259962

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +42*a(n-3) +223*a(n-4) +485*a(n-5) +723*a(n-6) -806*a(n-7) -5802*a(n-8) -7742*a(n-9) -2191*a(n-10) +15114*a(n-11) +38950*a(n-12) +12875*a(n-13) -51485*a(n-14) -62587*a(n-15) -10948*a(n-16) +70876*a(n-17) +106851*a(n-18) +53452*a(n-19) -26830*a(n-20) -86750*a(n-21) -110193*a(n-22) -37947*a(n-23) +2815*a(n-24) +1242*a(n-25) +25129*a(n-26) -34729*a(n-27) -623*a(n-28) -6984*a(n-29) -7065*a(n-30) +17065*a(n-31) -14376*a(n-32) +11137*a(n-33) -9534*a(n-34) +5434*a(n-35) -2728*a(n-36) +1898*a(n-37) -781*a(n-38) +255*a(n-39) -156*a(n-40) +24*a(n-41) +11*a(n-42) -5*a(n-43) for n>44

Example

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

Crossrefs

Cf. A259962

Sequence in context: A243858 A252682 A235093 * A332180 A160034 A273811

Adjacent sequences: A259956 A259957 A259958 * A259960 A259961 A259962

Keyword

nonn

Author

R. H. Hardin, Jul 10 2015

Status

approved