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A205604 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order 1
443, 9688, 229445, 5470216, 131086803, 3128383392, 74880118862, 1789102516698, 42797416252738, 1022912102229384, 24463500789654523, 584810372631311890, 13984289373326702867, 334330210257654099548, 7994180856499923543924 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A205609

LINKS

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

FORMULA

Empirical: a(n) = 471*a(n-2) +3520*a(n-3) -9982*a(n-4) -369876*a(n-5) -1286266*a(n-6) +12652252*a(n-7) +62302467*a(n-8) -172499788*a(n-9) -969353689*a(n-10) +1140886196*a(n-11) +5920757684*a(n-12) -6427855248*a(n-13) -4731229724*a(n-14) +58949652912*a(n-15) -43707104144*a(n-16) -108388914768*a(n-17) +316917783552*a(n-18) -1562540422272*a(n-19) -4852781707392*a(n-20) +2639798305920*a(n-21) +15547627524096*a(n-22) +8515882377216*a(n-23) -8609700003840*a(n-24) -9567761596416*a(n-25) -2412483969024*a(n-26) for n>27

EXAMPLE

Some solutions for n=4

..0..0..0..0....0..0..1..2....0..0..0..0....0..1..0..1....0..0..0..0

..1..0..2..2....3..2..1..3....0..0..0..0....1..0..1..2....0..0..0..0

..1..3..3..0....1..0..2..0....1..1..0..1....1..2..1..3....1..0..1..0

..1..3..0..0....1..3..2..1....0..2..2..1....0..3..2..0....1..3..3..3

..1..2..2..3....3..0..3..2....2..2..1..1....0..1..2..3....1..3..0..3

CROSSREFS

Sequence in context: A158321 A293978 A345307 * A205435 A098254 A242540

Adjacent sequences:  A205601 A205602 A205603 * A205605 A205606 A205607

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 29 2012

STATUS

approved

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Last modified May 21 08:44 EDT 2022. Contains 353908 sequences. (Running on oeis4.)