A223971 Number of nX4 0..2 arrays with rows and antidiagonals unimodal

46, 2116, 76092, 2558848, 84988435, 2809740785, 92756321858, 3060966419662, 100999995564503, 3332485315028073, 109953896394879299, 3627869207377692043, 119699463417292189730, 3949414024096794560292, 130308602654739064528903

Offset

1,1

Comments

Column 4 of A223975

Links

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

Formula

Empirical: a(n) = 46*a(n-1) -475*a(n-2) +1981*a(n-3) -20047*a(n-4) +170659*a(n-5) -619313*a(n-6) +1472430*a(n-7) -5125985*a(n-8) +14966969*a(n-9) -26289219*a(n-10) +49504177*a(n-11) -100448013*a(n-12) +127366991*a(n-13) -120709682*a(n-14) +121925145*a(n-15) -83316868*a(n-16) +21878656*a(n-17) -230400*a(n-18)

Example

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

Crossrefs

Sequence in context: A223827 A223785 A264525 * A009990 A042013 A333718

Adjacent sequences: A223968 A223969 A223970 * A223972 A223973 A223974

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved