A209499 Number of nX4 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order

15, 690, 78135, 9502354, 1165032679, 142937856372, 17538444837670, 2151975129988088, 264048573957784964, 32398910709148727392, 3975364904849935772656, 487779550353892225564624

Offset

1,1

Comments

Column 4 of A209503

Links

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

Formula

Empirical: a(n) = 118*a(n-1) +1604*a(n-2) -127784*a(n-3) -79452*a(n-4) +37606360*a(n-5) -178547756*a(n-6) -2931053296*a(n-7) +18312307424*a(n-8) +74021561744*a(n-9) -495233537616*a(n-10) -1023076292096*a(n-11) +5490220477440*a(n-12) +8804921243328*a(n-13) -24309394624512*a(n-14) -36012394278144*a(n-15) +28360887229440*a(n-16) +27667991881728*a(n-17) -15907925311488*a(n-18) for n>19

Example

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

Crossrefs

Sequence in context: A351182 A266519 A177230 * A001520 A062079 A062032

Adjacent sequences: A209496 A209497 A209498 * A209500 A209501 A209502

Keyword

nonn

Author

R. H. Hardin Mar 09 2012

Status

approved