A224968 Number of (n+1)X2 0..3 matrices with each 2X2 permanent equal

256, 912, 3067, 13654, 59330, 294349, 1450678, 7519806, 38907153, 204788176, 1077280478, 5698807413, 30141225914, 159706380100, 846175230733, 4485916253958, 23781297237114, 126096070580625, 668599352875654

Offset

1,1

Comments

Column 1 of A224975

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -3*a(n-2) -613*a(n-3) +1718*a(n-4) +12657*a(n-5) -55122*a(n-6) -147106*a(n-7) +927356*a(n-8) +988051*a(n-9) -10188709*a(n-10) -2715501*a(n-11) +79796620*a(n-12) -16186868*a(n-13) -466507035*a(n-14) +234403773*a(n-15) +2091286033*a(n-16) -1465021925*a(n-17) -7303254924*a(n-18) +6066214910*a(n-19) +20033857553*a(n-20) -18248086501*a(n-21) -43268355305*a(n-22) +41186341769*a(n-23) +73346534941*a(n-24) -70446516989*a(n-25) -96727442226*a(n-26) +91073964616*a(n-27) +97698501925*a(n-28) -87874737640*a(n-29) -73745632142*a(n-30) +61836998624*a(n-31) +40079463299*a(n-32) -30605244390*a(n-33) -14815375438*a(n-34) +10076694568*a(n-35) +3401067964*a(n-36) -2019055368*a(n-37) -412583016*a(n-38) +209714400*a(n-39) +17956512*a(n-40) -7620480*a(n-41)

Example

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

Crossrefs

Sequence in context: A236980 A224975 A237090 * A237083 A220764 A135272

Adjacent sequences: A224965 A224966 A224967 * A224969 A224970 A224971

Keyword

nonn

Author

R. H. Hardin Apr 21 2013

Status

approved