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A205436 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order 1
2705, 140423, 10308161, 869874577, 76421483407, 6789317584699, 604991353523259, 53954586647399703, 4812872079044318535, 429345214541151936865, 38301530760896521277313, 3416863309039447559442139 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A205440

LINKS

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

FORMULA

Empirical: a(n) = 205*a(n-1) -15946*a(n-2) +645187*a(n-3) -14769309*a(n-4) +175596488*a(n-5) -232992337*a(n-6) -24636432999*a(n-7) +350104743368*a(n-8) -1468588821199*a(n-9) -13317298254056*a(n-10) +205721543579687*a(n-11) -873716539544192*a(n-12) -2499100023238467*a(n-13) +42640653491442386*a(n-14) -150750136168186581*a(n-15) -246907196851253659*a(n-16) +3715844179216610168*a(n-17) -9826625905878597494*a(n-18) -13726868697726497146*a(n-19) +140340542694532520657*a(n-20) -252417500777430187913*a(n-21) -388827521776141928169*a(n-22) +2291771342365998745448*a(n-23) -2482348100905799204036*a(n-24) -4940770376631827613098*a(n-25) +15884680325575347756896*a(n-26) -8578088759200323084764*a(n-27) -25026367106537227114972*a(n-28) +44031310453030859809080*a(n-29) -7100384520093283536336*a(n-30) -47090139384636129778368*a(n-31) +46061763741343104578112*a(n-32) +1653723823133117045376*a(n-33) -28843859749067258897664*a(n-34) +17274323156979810318336*a(n-35) -99068763098589401088*a(n-36) -4056314237368096260096*a(n-37) +1872904635104744521728*a(n-38) -357610284205192249344*a(n-39) +25574132729209946112*a(n-40)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A193172 A281838 A205605 * A031550 A083615 A205750

Adjacent sequences:  A205433 A205434 A205435 * A205437 A205438 A205439

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 27 2012

STATUS

approved

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)