A204394 Number of (n+2)X6 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order

13448, 175232, 2196608, 25233408, 313801352, 3834777888, 46611372488, 569195419058, 6940353182562, 84641317034978, 1032495498038792, 12592351130442272, 153584384547155528, 1873247115919774088

Offset

1,1

Comments

Column 4 of A204398

Links

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

Formula

Empirical: a(n) = 20*a(n-1) -101*a(n-2) +190*a(n-3) -2045*a(n-4) +7042*a(n-5) -13346*a(n-6) +133080*a(n-7) +1340415*a(n-8) -7210157*a(n-9) -909251*a(n-10) -24342983*a(n-11) +112051614*a(n-12) +140533245*a(n-13) +799710047*a(n-14) +556002090*a(n-15) -11013159529*a(n-16) -7625987971*a(n-17) +6105144536*a(n-18) +46517425645*a(n-19) +122133599713*a(n-20) -83016416434*a(n-21) -513110939775*a(n-22) -835873711203*a(n-23) +3938831546162*a(n-24) +15208806648145*a(n-25) -4214699819655*a(n-26) -37377926647476*a(n-27) -169580582362179*a(n-28) -195652607403233*a(n-29) +1071243644229914*a(n-30) +155884942693687*a(n-31) -3361029284127963*a(n-32) +5592067203005990*a(n-33) -5899873031048499*a(n-34) +12045500444959215*a(n-35) +33650666009147537*a(n-36) -107899172160772397*a(n-37) +38547342599654712*a(n-38) -18107476664316844*a(n-39) +71113574773988832*a(n-40) +1165040206229261*a(n-41) +38898410548572872*a(n-42) -3078610686091461*a(n-43) -98070753758420052*a(n-44) +20531466999101985*a(n-45) +8135531953772410*a(n-46) +377822915637188*a(n-47) +3065536072336*a(n-48) +1600481789040*a(n-49) +14246755168*a(n-50) +2025115648*a(n-51) +195133056*a(n-52) -33806080*a(n-53) -1015296*a(n-54) +2048*a(n-55) for n>56

Example

Some solutions for n=3
..0..0..1..0..1..0....0..0..1..0..1..0....0..0..0..1..0..0....0..0..0..0..0..1
..0..1..0..1..1..1....0..1..0..1..1..0....1..0..1..0..1..0....1..0..1..0..1..1
..0..1..0..1..0..0....0..1..0..1..0..1....1..0..1..1..1..0....1..1..1..0..1..1
..1..1..0..0..0..1....0..0..0..1..0..0....0..0..0..0..0..0....0..0..0..0..0..1
..0..0..1..1..1..0....1..0..1..0..0..0....0..0..1..1..1..1....1..1..1..0..1..1

Crossrefs

Sequence in context: A035917 A332387 A183676 * A250818 A271210 A284952

Adjacent sequences: A204391 A204392 A204393 * A204395 A204396 A204397

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved