A237475 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock equal

331, 2529, 19175, 160005, 1361797, 11938523, 105900839, 950031897, 8571447311, 77703482543, 706310544831, 6433899213915, 58681892142847, 535742328796239, 4894047982214525, 44727597830666259, 408889525691631919

Offset

1,1

Comments

Column 2 of A237481

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -4*a(n-2) -1270*a(n-3) +4614*a(n-4) +32689*a(n-5) -189159*a(n-6) -315240*a(n-7) +3345462*a(n-8) -441205*a(n-9) -31268255*a(n-10) +33370256*a(n-11) +163213626*a(n-12) -289548851*a(n-13) -461018671*a(n-14) +1232093408*a(n-15) +554566403*a(n-16) -2950288660*a(n-17) +316531223*a(n-18) +4092259150*a(n-19) -1771232392*a(n-20) -3233425862*a(n-21) +2126933890*a(n-22) +1373888416*a(n-23) -1177913072*a(n-24) -282612928*a(n-25) +315961632*a(n-26) +21654656*a(n-27) -36843008*a(n-28) -182272*a(n-29) +1425408*a(n-30)

Example

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

Crossrefs

Sequence in context: A336059 A341234 A154083 * A060894 A002228 A199820

Adjacent sequences: A237472 A237473 A237474 * A237476 A237477 A237478

Keyword

nonn

Author

R. H. Hardin, Feb 08 2014

Status

approved