A210315 Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

995, 279526, 58464712, 11186190570, 2073034512148, 379491677736164, 69133776440716096, 12569987936154929124, 2283706683030805890988, 414771759014662924645934, 75322194226952483099930400

Offset

1,1

Comments

Column 3 of A210320

Links

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

Formula

Empirical: a(n) = 237*a(n-1) -8494*a(n-2) -300237*a(n-3) +2482313*a(n-4) +58239270*a(n-5) -296444067*a(n-6) -2842201417*a(n-7) +12050668766*a(n-8) +41834205193*a(n-9) -197110345949*a(n-10) -109615007438*a(n-11) +1042214343696*a(n-12) -265321484840*a(n-13) -2283447354472*a(n-14) +1334391576272*a(n-15) +2102283712768*a(n-16) -1614381867264*a(n-17) -554944840192*a(n-18) +578116512768*a(n-19) -98061852672*a(n-20) +1530150912*a(n-21)

Example

Some solutions for n=4
..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..1..1
..1..2..0..2....0..1..1..0....0..1..0..1....1..0..2..2....1..1..2..1
..2..1..0..3....1..0..2..0....1..0..0..2....2..2..3..2....2..3..1..1
..2..2..0..2....1..3..2..2....1..2..3..3....2..3..1..1....2..0..0..1
..3..3..0..1....1..1..3..2....0..0..2..2....2..1..1..2....3..0..2..0

Crossrefs

Sequence in context: A035857 A028513 A267119 * A182694 A234847 A057698

Adjacent sequences: A210312 A210313 A210314 * A210316 A210317 A210318

Keyword

nonn

Author

R. H. Hardin Mar 20 2012

Status

approved