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
Keywords
Examples
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
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)
Comments