A224373 Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing

239, 10511, 227112, 3518302, 48166179, 644368221, 8684742989, 118171436342, 1617034882854, 22180823169132, 304470584215636, 4179566726619035, 57366850907237080, 787294489483452053, 10803851806245324942

Offset

1,1

Comments

Column 7 of A224374

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -505*a(n-2) +3667*a(n-3) -15271*a(n-4) +38113*a(n-5) -59621*a(n-6) +53813*a(n-7) -125335*a(n-8) +657330*a(n-9) -1326014*a(n-10) +2644047*a(n-11) +3529521*a(n-12) +7803900*a(n-13) +959690*a(n-14) +28175350*a(n-15) +27269532*a(n-16) +18725976*a(n-17) +1826832*a(n-18) +1263744*a(n-19) for n>24

Example

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

Crossrefs

Sequence in context: A223932 A224056 A224309 * A278852 A163041 A069364

Adjacent sequences: A224370 A224371 A224372 * A224374 A224375 A224376

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved