A259949 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

801, 4128, 30351, 141619, 631626, 3451108, 18564547, 92159926, 465579244, 2426793925, 12493718508, 63615992133, 326137871580, 1677931148622, 8603497730864, 44072130840744, 226114843492646, 1160274814296495

Offset

1,1

Comments

Column 5 of A259952

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) +34*a(n-3) +158*a(n-4) -200*a(n-5) -398*a(n-6) -1320*a(n-7) -3859*a(n-8) +3564*a(n-9) +2523*a(n-10) +19633*a(n-11) +42806*a(n-12) -31390*a(n-13) +29533*a(n-14) -124801*a(n-15) -218738*a(n-16) +123198*a(n-17) -271189*a(n-18) +415853*a(n-19) +378986*a(n-20) -99555*a(n-21) +570496*a(n-22) -648015*a(n-23) -174016*a(n-24) -112063*a(n-25) -299779*a(n-26) +320037*a(n-27) +86070*a(n-28) +22830*a(n-29) +30933*a(n-30) -80837*a(n-31) -26621*a(n-32) +14225*a(n-33) +4337*a(n-34) -722*a(n-35) +239*a(n-36) +807*a(n-37) +390*a(n-38) -72*a(n-39) -72*a(n-40) for n>41

Example

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

Crossrefs

Cf. A259952

Sequence in context: A357544 A031897 A325380 * A296962 A075005 A249007

Adjacent sequences: A259946 A259947 A259948 * A259950 A259951 A259952

Keyword

nonn

Author

R. H. Hardin, Jul 10 2015

Status

approved