A224646 Number of (n+2)X5 0..1 matrices with each 3X3 subblock having the same population

3200, 5696, 10304, 19328, 44096, 103232, 250304, 672320, 1832000, 5072000, 14598464, 42259520, 123062720, 363331136, 1075129664, 3188732288, 9504804416, 28357861952, 84686143424, 253379455040, 758408705600, 2270956426880

Offset

1,1

Comments

Column 3 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..0..1..1..0....1..1..0..0..1....1..1..1..1..1....0..1..1..0..1
..1..1..0..1..1....0..1..0..0..0....0..1..1..0..1....0..0..0..1..1
..1..0..0..0..0....0..0..1..1..1....1..0..0..1..0....1..1..1..0..0
..0..1..0..1..1....1..0..1..0..0....1..1..1..1..1....1..1..0..1..1

Crossrefs

Sequence in context: A235562 A269114 A035896 * A231203 A035777 A108001

Adjacent sequences: A224643 A224644 A224645 * A224647 A224648 A224649

Keyword

nonn

Author

R. H. Hardin Apr 13 2013

Status

approved