A236822 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal

327, 2211, 15254, 109205, 786609, 5747502, 42215123, 312592339, 2324534826, 17376767995, 130331607713, 981030661960, 7403192678283, 56006537652545, 424502700379214, 3223178794593881, 24506960972636245, 186565676015487922

Offset

1,1

Comments

Column 2 of A236828

Links

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

Formula

Empirical: a(n) = 20*a(n-1) -74*a(n-2) -950*a(n-3) +7675*a(n-4) +5902*a(n-5) -208583*a(n-6) +358712*a(n-7) +2437168*a(n-8) -8245218*a(n-9) -11507689*a(n-10) +77981588*a(n-11) -13353740*a(n-12) -390127858*a(n-13) +398463912*a(n-14) +1060576100*a(n-15) -1911844548*a(n-16) -1338399672*a(n-17) +4592202520*a(n-18) -205399632*a(n-19) -6115028512*a(n-20) +2874814400*a(n-21) +4321062784*a(n-22) -3582260416*a(n-23) -1253904064*a(n-24) +1886965760*a(n-25) -92450688*a(n-26) -394737408*a(n-27) +90316800*a(n-28) +17190912*a(n-29) -4915200*a(n-30)

Example

Some solutions for n=4
..0..1..2....1..2..0....2..0..0....2..1..0....2..1..0....2..1..0....2..0..1
..1..0..1....1..2..0....2..1..1....0..2..2....2..2..1....1..0..1....2..1..2
..1..0..1....0..0..0....2..2..0....1..2..1....0..1..0....1..2..2....0..2..0
..0..0..0....1..2..1....0..1..2....0..1..0....1..0..1....2..0..1....1..2..1
..0..1..1....2..1..2....0..0..2....2..2..2....2..2..1....1..2..2....2..0..1

Crossrefs

Sequence in context: A158271 A203723 A097737 * A126311 A097738 A239536

Adjacent sequences: A236819 A236820 A236821 * A236823 A236824 A236825

Keyword

nonn

Author

_R. H. Hardin_, Jan 31 2014

Status

approved