A223997 Number of nX6 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

28, 469, 4614, 36845, 281271, 2160036, 16795265, 131782267, 1040869367, 8260503068, 65781844983, 525128814213, 4199218263977, 33618978354499, 269371779362318, 2159531269883408, 17319319103903054, 138936031415524052

Offset

1,1

Comments

Column 6 of A223999

Links

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

Formula

Empirical: a(n) = 28*a(n-1) -300*a(n-2) +1417*a(n-3) -1482*a(n-4) -11436*a(n-5) +31851*a(n-6) +52359*a(n-7) -290782*a(n-8) +153075*a(n-9) +602260*a(n-10) -176604*a(n-11) -1863678*a(n-12) +536713*a(n-13) +8514601*a(n-14) -7251292*a(n-15) -64571700*a(n-16) +163992784*a(n-17) -63488599*a(n-18) +75157211*a(n-19) -574679221*a(n-20) +1117201234*a(n-21) -1103109981*a(n-22) +247796355*a(n-23) -1415805562*a(n-24) +12828520548*a(n-25) -5049431870*a(n-26) +5717879992*a(n-27) +7921013636*a(n-28) +14497424532*a(n-29) -1161322200*a(n-30) +7782865280*a(n-31) +2703305984*a(n-32) +21857003968*a(n-33) +1446146688*a(n-34) +6372675072*a(n-35) -1634756608*a(n-36) +2474711040*a(n-37) -114278400*a(n-38) +967065600*a(n-39) for n>44

Example

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

Crossrefs

Sequence in context: A115226 A086782 A115225 * A263949 A240463 A140107

Adjacent sequences: A223994 A223995 A223996 * A223998 A223999 A224000

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved