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

540324, 109655775, 22275534255, 4524628081600, 919046909794048, 186677705463298720, 37918176847270068655, 7701980533069758424335, 1564434504820385808145956, 317769606176319633834643104

Offset

1,1

Comments

Column 2 of A204351

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

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

Adjacent sequences: A204342 A204343 A204344 * A204346 A204347 A204348

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved