A224647 Number of (n+2)X6 0..1 matrices with each 3X3 subblock having the same population

8000, 12320, 19328, 31616, 64256, 135872, 303488, 775232, 2028416, 5447168, 15405440, 43963712, 126627200, 371378240, 1092921728, 3227503616, 9594041216, 28558924352, 85132055168, 254413742912, 760757553536, 2276205982208

Offset

1,1

Comments

Column 4 of A224651

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +36*a(n-3) -144*a(n-4) +108*a(n-5) -503*a(n-6) +2012*a(n-7) -1509*a(n-8) +3480*a(n-9) -13920*a(n-10) +10440*a(n-11) -12564*a(n-12) +50256*a(n-13) -37692*a(n-14) +22464*a(n-15) -89856*a(n-16) +67392*a(n-17) -15552*a(n-18) +62208*a(n-19) -46656*a(n-20)

Example

Some solutions for n=2
..0..1..1..1..1..0....1..0..0..1..0..0....0..1..1..0..1..1....1..1..0..0..0..1
..1..0..0..1..0..1....0..0..0..0..1..1....1..0..1..1..0..1....1..0..1..1..1..0
..1..0..1..0..0..1....1..1..1..1..0..0....1..0..1..1..0..1....0..0..0..1..0..0
..0..1..1..1..1..0....0..1..0..0..1..0....1..0..1..1..0..1....1..1..0..0..0..1

Crossrefs

Sequence in context: A043614 A223285 A223482 * A013813 A013896 A345582

Adjacent sequences: A224644 A224645 A224646 * A224648 A224649 A224650

Keyword

nonn

Author

R. H. Hardin Apr 13 2013

Status

approved