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A204345 Number of (n+2)X4 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order 1
540324, 109655775, 22275534255, 4524628081600, 919046909794048, 186677705463298720, 37918176847270068655, 7701980533069758424335, 1564434504820385808145956, 317769606176319633834643104 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A204351
LINKS
FORMULA
Empirical: a(n) = 217*a(n-1) -2496*a(n-2) -59194*a(n-3) -1263479*a(n-4) -9752889*a(n-5) +8960540*a(n-6) +36108251782*a(n-7) -249908138142*a(n-8) -274708063924*a(n-9) +963469531573*a(n-10) +9614519279043*a(n-11) +19959867347978*a(n-12) +11744804824456*a(n-13) -378612498274341*a(n-14) -703194230351803*a(n-15) -1031730471573992*a(n-16) +373184847863472*a(n-17) +5118782848172432*a(n-18) +29399642640552808*a(n-19) +155979057144003606*a(n-20) +517288794880483746*a(n-21) +509022762066757008*a(n-22) -2538543123728192628*a(n-23) -10628760266216741214*a(n-24) -25069276602228200490*a(n-25) -20041975242938092176*a(n-26) +3995626027775196780*a(n-27) +53476384692194416836*a(n-28) +488407961655493484832*a(n-29) +2126200047857773714602*a(n-30) +4758980325020420047470*a(n-31) +1677161298602998054260*a(n-32) -13158199476451520128080*a(n-33) -63146824595959597077762*a(n-34) -20652418268047942847046*a(n-35) +6044640047603966442600*a(n-36) +45745287981567528373632*a(n-37) +16573763093004275374656*a(n-38) -4644239273776591306920*a(n-39) -44173754942126735105253*a(n-40) -16630897273553099306763*a(n-41) +7182224847804062362752*a(n-42) +65046961496300577485310*a(n-43) +25998213831568118378757*a(n-44) +2356533098526734850195*a(n-45) -8918150363976493791756*a(n-46) -5437020685725553472802*a(n-47) -1951572856621062412278*a(n-48) +252519901744191301332*a(n-49) +297175779354283594353*a(n-50) +147679738208660982879*a(n-51) +18698620834571832882*a(n-52) +222362422662220920*a(n-53) -2151356439256987401*a(n-54) +150094635296999121*a(n-55)
EXAMPLE
Some solutions for n=3
..0..0..0..0....0..0..0..1....0..1..0..2....0..1..0..2....0..0..0..1
..1..1..2..0....2..1..1..1....0..1..2..1....2..1..1..3....0..0..2..1
..1..0..0..0....0..2..1..3....3..0..0..1....2..0..1..0....1..0..1..3
..0..3..0..1....3..2..1..2....3..2..2..0....3..3..1..3....1..3..1..1
..1..2..0..2....0..0..1..0....2..2..1..1....2..2..1..1....0..1..3..2
CROSSREFS
Sequence in context: A251355 A043636 A082813 * A269323 A043667 A126722
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 14 2012
STATUS
approved

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)