A279707 Number of nX6 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

5, 9, 102, 1195, 14988, 187484, 2342179, 29270275, 365809911, 4571688626, 57134413334, 714035149793, 8923627161193, 111522680881055, 1393750357076514, 17418341038959909, 217685042385032357, 2720510386500144294

Offset

1,1

Comments

Column 6 of A279709.

Links

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

Formula

Empirical: a(n) = 37*a(n-1) -596*a(n-2) +5876*a(n-3) -41252*a(n-4) +223532*a(n-5) -977316*a(n-6) +3536050*a(n-7) -10754246*a(n-8) +27797517*a(n-9) -61642501*a(n-10) +118357619*a(n-11) -198557227*a(n-12) +293436184*a(n-13) -384520035*a(n-14) +448773667*a(n-15) -467646170*a(n-16) +435555142*a(n-17) -362596124*a(n-18) +269556370*a(n-19) -178530525*a(n-20) +104895669*a(n-21) -54315067*a(n-22) +24563722*a(n-23) -9593323*a(n-24) +3191542*a(n-25) -889524*a(n-26) +203375*a(n-27) -37080*a(n-28) +5175*a(n-29) -518*a(n-30) +33*a(n-31) -a(n-32) for n>33

Example

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

Crossrefs

Cf. A279709.

Sequence in context: A221741 A344080 A098097 * A329002 A280642 A359396

Adjacent sequences: A279704 A279705 A279706 * A279708 A279709 A279710

Keyword

nonn

Author

R. H. Hardin, Dec 17 2016

Status

approved