A250970 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

2121, 77537, 2833397, 103684186, 3794909318, 138900769559, 5084110136919, 186091438754901, 6811422962008298, 249315542243292284, 9125588509861083659, 334019954168148561523, 12225987350399215480885, 447502506618626972091831

Offset

1,1

Comments

Column 5 of A250973

Links

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

Formula

Empirical: a(n) = 64*a(n-1) -1446*a(n-2) +21783*a(n-3) -257090*a(n-4) +2364533*a(n-5) -17301630*a(n-6) +102437299*a(n-7) -484439145*a(n-8) +1808535109*a(n-9) -5311996643*a(n-10) +12229385847*a(n-11) -21849236431*a(n-12) +29285048520*a(n-13) -26153502129*a(n-14) +7239648236*a(n-15) +20967448076*a(n-16) -41791947829*a(n-17) +41249669536*a(n-18) -19653544893*a(n-19) -9216125179*a(n-20) +29489025257*a(n-21) -33624035531*a(n-22) +25340528985*a(n-23) -13860558578*a(n-24) +5642370770*a(n-25) -1727464741*a(n-26) +397748431*a(n-27) -68146076*a(n-28) +8635216*a(n-29) -707328*a(n-30) +35280*a(n-31)

Example

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

Crossrefs

Sequence in context: A205949 A205460 A263510 * A238035 A248485 A321117

Adjacent sequences: A250967 A250968 A250969 * A250971 A250972 A250973

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved