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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 1
13448, 175232, 2196608, 25233408, 313801352, 3834777888, 46611372488, 569195419058, 6940353182562, 84641317034978, 1032495498038792, 12592351130442272, 153584384547155528, 1873247115919774088 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 28 04:11 EST 2022. Contains 350654 sequences. (Running on oeis4.)