A279489 Number of nX3 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 5, 38, 254, 1433, 8330, 46095, 250440, 1332366, 6989712, 36235705, 185945098, 945895078, 4775688338, 23953618305, 119447804293, 592560152936, 2925941530150, 14387128139448, 70473511001771, 344006151796898

Offset

1,2

Comments

Column 3 of A279494.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -87*a(n-2) +272*a(n-3) -624*a(n-4) +1167*a(n-5) -1375*a(n-6) +1464*a(n-7) -789*a(n-8) -1362*a(n-9) +1821*a(n-10) -5907*a(n-11) +6610*a(n-12) -315*a(n-13) +3501*a(n-14) +12667*a(n-15) -11622*a(n-16) -6744*a(n-17) -25975*a(n-18) -15276*a(n-19) +19746*a(n-20) +18848*a(n-21) +81336*a(n-22) +55014*a(n-23) -70070*a(n-24) -112530*a(n-25) -108033*a(n-26) -52409*a(n-27) +49242*a(n-28) +227127*a(n-29) +332239*a(n-30) +11925*a(n-31) -374757*a(n-32) -309097*a(n-33) -114708*a(n-34) -22170*a(n-35) +258011*a(n-36) +537372*a(n-37) +265353*a(n-38) -363395*a(n-39) -575142*a(n-40) -183579*a(n-41) +249255*a(n-42) +295275*a(n-43) +86565*a(n-44) -70251*a(n-45) -81003*a(n-46) -30351*a(n-47) +3177*a(n-48) +9021*a(n-49) +4779*a(n-50) +1403*a(n-51) +246*a(n-52) +24*a(n-53) +a(n-54) for n>55

Example

Some solutions for n=4
..0..0..0. .0..1..0. .0..0..1. .0..1..1. .0..1..0. .0..1..1. .0..1..1
..1..0..1. .1..1..0. .0..1..0. .0..0..0. .0..1..0. .0..1..0. .1..0..0
..1..1..0. .0..0..1. .1..0..0. .0..1..0. .1..0..1. .1..1..0. .1..1..0
..0..0..1. .0..0..1. .1..1..1. .1..1..0. .0..0..0. .0..0..1. .1..1..0

Crossrefs

Cf. A279494.

Sequence in context: A345686 A279265 A129048 * A027323 A110079 A110082

Adjacent sequences: A279486 A279487 A279488 * A279490 A279491 A279492

Keyword

nonn

Author

R. H. Hardin, Dec 13 2016

Status

approved