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A206756 Number of (n+1)X4 0..2 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order 1
861, 46860, 2668146, 151490088, 8593845900, 487641463195, 27669705981731, 1570026011774797, 89086081583302150, 5054902077296584930, 286824095914915178673, 16274907431278269445687, 923467082552249859546124 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A206761
LINKS
FORMULA
Empirical: a(n) = 45*a(n-1) +370*a(n-2) +15149*a(n-3) +76378*a(n-4) +1058363*a(n-5) -2506070*a(n-6) -2325138*a(n-7) -92466496*a(n-8) +114886373*a(n-9) +39579359*a(n-10) +2024976620*a(n-11) -22925686*a(n-12) +8674930249*a(n-13) -60121850907*a(n-14) +1940099686*a(n-15) -109381341489*a(n-16) +438050289802*a(n-17) +658638879422*a(n-18) -164692327594*a(n-19) -916183130259*a(n-20) -4140837142528*a(n-21) -1450162076716*a(n-22) +2272526846612*a(n-23) +6292033310988*a(n-24) +11396023808588*a(n-25) +5422732029093*a(n-26) -3970710535877*a(n-27) -40622008593869*a(n-28) +8621552196718*a(n-29) +4648861395235*a(n-30) -6938773158117*a(n-31) +17204940755443*a(n-32) +18160240951339*a(n-33) +5066007661516*a(n-34) -40946277003338*a(n-35) -2481254764346*a(n-36) -3625054765816*a(n-37) +17103941597394*a(n-38) -8465436172520*a(n-39) +2025529699880*a(n-40) +5155425109168*a(n-41) +4045634600808*a(n-42) -250196834912*a(n-43) -402757193536*a(n-44) +175278530240*a(n-45) -52131929472*a(n-46) +4118175744*a(n-47) -835915776*a(n-48)
EXAMPLE
Some solutions for n=4
..0..0..0..1....0..1..2..2....0..1..2..2....0..0..1..1....0..1..0..2
..2..0..1..2....1..0..1..1....0..0..0..2....1..1..2..0....1..1..1..2
..0..2..2..0....0..0..2..0....0..2..1..0....1..2..1..2....1..2..0..1
..2..2..0..1....0..1..0..1....1..0..0..0....0..1..2..1....1..0..0..1
..2..1..2..1....1..0..0..1....2..2..1..2....2..0..0..1....2..2..1..2
CROSSREFS
Sequence in context: A292626 A115749 A105323 * A203272 A344288 A327378
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 12 2012
STATUS
approved

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Last modified July 18 10:00 EDT 2024. Contains 374378 sequences. (Running on oeis4.)