A235958 Number of (n+1)X(4+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

398, 3574, 27296, 195428, 1340034, 8974124, 59037352, 383935642, 2474858156, 15855538026, 101109317650, 642624413888, 4074162919236, 25782920579854, 162943987863504, 1028761286891880, 6490399113397390, 40925436725829316

Offset

1,1

Comments

Column 4 of A235962

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -12*a(n-2) -630*a(n-3) +2185*a(n-4) +11081*a(n-5) -61187*a(n-6) -84848*a(n-7) +866058*a(n-8) -9451*a(n-9) -7440523*a(n-10) +5961993*a(n-11) +41377284*a(n-12) -57568138*a(n-13) -151118526*a(n-14) +300002541*a(n-15) +350238262*a(n-16) -1000944598*a(n-17) -437426084*a(n-18) +2240808356*a(n-19) -633296*a(n-20) -3391604096*a(n-21) +992970752*a(n-22) +3413976256*a(n-23) -1734009344*a(n-24) -2192656896*a(n-25) +1503995904*a(n-26) +829825024*a(n-27) -716570624*a(n-28) -158203904*a(n-29) +174587904*a(n-30) +10485760*a(n-31) -16777216*a(n-32)

Example

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

Crossrefs

Sequence in context: A191942 A158316 A236713 * A187515 A235569 A261768

Adjacent sequences: A235955 A235956 A235957 * A235959 A235960 A235961

Keyword

nonn

Author

R. H. Hardin, Jan 17 2014

Status

approved