A205994 Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to two, and every 2X2 determinant nonzero

1184, 14866, 189430, 2437024, 31326018, 403768668, 5195655486, 66947088104, 861764789094, 11101218786716, 142925095236492, 1840894346159884, 23703493987332650, 305280014387629340, 3931041030713379578

Offset

1,1

Comments

Column 4 of A205998

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +129*a(n-2) -959*a(n-3) -2642*a(n-4) +23760*a(n-5) +29110*a(n-6) -294329*a(n-7) -233474*a(n-8) +2089321*a(n-9) +1217510*a(n-10) -7615126*a(n-11) -4368220*a(n-12) +12862612*a(n-13) -84886*a(n-14) -22987038*a(n-15) +4272374*a(n-16) +30922371*a(n-17) +17506373*a(n-18) +7832373*a(n-19) -2220854*a(n-20) -17869842*a(n-21) -12972492*a(n-22) -5160865*a(n-23) -3810944*a(n-24) +4001127*a(n-25) +3976405*a(n-26) -1150220*a(n-27) -615736*a(n-28) +213944*a(n-29) +46224*a(n-30) +19196*a(n-31) +18136*a(n-32) -1136*a(n-33) -1296*a(n-34) -128*a(n-35) +64*a(n-36)

Example

Some solutions for n=4
..0..1..2..2..1....2..1..2..2..0....2..1..0..2..0....0..2..0..1..1
..1..2..1..0..2....0..2..1..0..1....0..2..1..0..2....2..0..2..0..2
..1..0..2..1..0....2..0..2..1..0....1..0..2..1..0....2..1..0..1..0
..0..1..0..2..1....1..1..0..2..1....2..1..0..2..1....1..2..1..2..1
..1..2..1..0..2....0..2..1..0..2....0..2..1..0..2....0..1..2..0..2

Crossrefs

Sequence in context: A269017 A328064 A280516 * A345540 A345792 A237698

Adjacent sequences: A205991 A205992 A205993 * A205995 A205996 A205997

Keyword

nonn

Author

R. H. Hardin Feb 02 2012

Status

approved