A224742 Number of (n+1) X 6 0..1 matrices with each 2 X 2 permanent equal.

538, 9554, 107665, 1644874, 21910274, 316084673, 4390392346, 62260133978, 873935026817, 12334039384018, 173598561450322, 2446847686729409, 34462955221735786, 485580984830908274, 6840489581505653009

Offset

1,1

Comments

Column 5 of A224745.

Links

R. H. Hardin, Table of n, a(n) for n = 1..177

Formula

Empirical: a(n) = 19*a(n-1) +7*a(n-2) -1516*a(n-3) +4721*a(n-4) +32621*a(n-5) -149676*a(n-6) -264873*a(n-7) +1850099*a(n-8) +416492*a(n-9) -11177731*a(n-10) +5573265*a(n-11) +33910965*a(n-12) -31589024*a(n-13) -47422880*a(n-14) +62438904*a(n-15) +21268656*a(n-16) -49177152*a(n-17) +6728832*a(n-18) +10917504*a(n-19) -3359232*a(n-20).

Example

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

Crossrefs

Cf. A224745.

Sequence in context: A235785 A235561 A252339 * A231194 A111258 A239347

Adjacent sequences: A224739 A224740 A224741 * A224743 A224744 A224745

Keyword

nonn

Author

R. H. Hardin Apr 17 2013

Status

approved