A205895 Number of 3X(n+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors

476, 6020, 79644, 1042382, 13544456, 176994692, 2306581930, 30091040770, 392413398860, 5118080533042, 66749915011740, 870564329275570, 11354001135466616, 148080426962160126, 1931284128582993192

Offset

1,1

Comments

Row 2 of A205894

Links

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

Formula

Empirical: a(n) = 86*a(n-2) +760*a(n-3) +3738*a(n-4) +9250*a(n-5) +a(n-6) -91063*a(n-7) -361635*a(n-8) -436943*a(n-9) +545180*a(n-10) +1606007*a(n-11) -149237*a(n-12) -10835274*a(n-13) -8365056*a(n-14) +44179189*a(n-15) +68051483*a(n-16) -6957442*a(n-17) +198448706*a(n-18) -146999105*a(n-19) -544154048*a(n-20) +1098204290*a(n-21) -2585983256*a(n-22) +3394264711*a(n-23) -7112934200*a(n-24) +10220938911*a(n-25) -17676476120*a(n-26) +25686964067*a(n-27) -28974983280*a(n-28) +36101512820*a(n-29) -52062360186*a(n-30) +80356912008*a(n-31) -87054253395*a(n-32) +66459295760*a(n-33) -49224652363*a(n-34) +41257909396*a(n-35) -44546129363*a(n-36) +48770005992*a(n-37) -48882437796*a(n-38) +41497764875*a(n-39) -28207003189*a(n-40) +15301727220*a(n-41) -1145788038*a(n-42) -9390031300*a(n-43) +14075254039*a(n-44) -12164782493*a(n-45) +9366980411*a(n-46) -6563228511*a(n-47) +4321925900*a(n-48) -2380585725*a(n-49) +937035245*a(n-50) +96707209*a(n-51) -343995886*a(n-52) +296944264*a(n-53) -127738242*a(n-54) +30366396*a(n-55) +3756128*a(n-56) -7056960*a(n-57) +1710592*a(n-58) -471264*a(n-59) for n>63

Example

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

Crossrefs

Sequence in context: A234077 A205287 A236519 * A235656 A264290 A181228

Adjacent sequences: A205892 A205893 A205894 * A205896 A205897 A205898

Keyword

nonn

Author

R. H. Hardin Feb 01 2012

Status

approved