A231128 Number of (n+1)X(5+1) white-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

44, 808, 16812, 336004, 6794904, 137063228, 2766762720, 55844298404, 1127200291672, 22752159616932, 459245479460980, 9269732838699552, 187106806814395160, 3776695456768760064, 76231479318266197484

Offset

1,1

Comments

Column 5 of A231131

Links

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

Formula

Empirical: a(n) = 19*a(n-1) +100*a(n-2) -1421*a(n-3) -4571*a(n-4) +41798*a(n-5) +109974*a(n-6) -656246*a(n-7) -1487069*a(n-8) +6049195*a(n-9) +10975788*a(n-10) -36061191*a(n-11) -49057120*a(n-12) +141523895*a(n-13) +153287320*a(n-14) -392824214*a(n-15) -336027204*a(n-16) +774335315*a(n-17) +540155584*a(n-18) -1090045760*a(n-19) -660547896*a(n-20) +1055685216*a(n-21) +727317632*a(n-22) -736522560*a(n-23) -722352896*a(n-24) +448343296*a(n-25) +529357824*a(n-26) -270748672*a(n-27) -249294848*a(n-28) +108318720*a(n-29) +74661888*a(n-30) -20348928*a(n-31) -12419072*a(n-32) +1310720*a(n-33) +786432*a(n-34)

Example

Some solutions for n=3
..0..x..0..x..1..x....0..x..1..x..1..x....0..x..1..x..0..x....0..x..1..x..1..x
..x..2..x..0..x..0....x..2..x..0..x..0....x..2..x..1..x..0....x..1..x..0..x..2
..2..x..1..x..1..x....0..x..0..x..1..x....1..x..2..x..1..x....2..x..1..x..2..x
..x..0..x..2..x..0....x..1..x..0..x..0....x..0..x..0..x..0....x..0..x..0..x..1

Crossrefs

Sequence in context: A232139 A296576 A202164 * A297605 A297083 A282994

Adjacent sequences: A231125 A231126 A231127 * A231129 A231130 A231131

Keyword

nonn

Author

R. H. Hardin, Nov 04 2013

Status

approved