A279744 Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 26, 168, 736, 2948, 11434, 42494, 154886, 554894, 1962216, 6863344, 23793932, 81876322, 279975202, 952219158, 3223476464, 10867630142, 36506995228, 122242241376, 408146874402, 1359207500258, 4515810568242, 14971262615738

Offset

1,2

Comments

Row 4 of A279741.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -97*a(n-2) +349*a(n-3) -719*a(n-4) +605*a(n-5) +988*a(n-6) -3940*a(n-7) +5528*a(n-8) -2372*a(n-9) -4242*a(n-10) +7466*a(n-11) -4480*a(n-12) +4508*a(n-13) -15704*a(n-14) +23204*a(n-15) -1380*a(n-16) -40516*a(n-17) +52888*a(n-18) -15504*a(n-19) -18615*a(n-20) -715*a(n-21) +29269*a(n-22) +10487*a(n-23) -77888*a(n-24) +64000*a(n-25) +15211*a(n-26) -48111*a(n-27) +12999*a(n-28) +903*a(n-29) +8726*a(n-30) +4570*a(n-31) -4063*a(n-32) -1491*a(n-33) -2565*a(n-34) -131*a(n-35) +130*a(n-36) +110*a(n-37) +293*a(n-38) +115*a(n-39) +104*a(n-40) +40*a(n-41) +17*a(n-42) +7*a(n-43) +a(n-44) +a(n-45) for n>50

Example

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

Crossrefs

Cf. A279741.

Sequence in context: A027280 A006354 A249292 * A214353 A283567 A037052

Adjacent sequences: A279741 A279742 A279743 * A279745 A279746 A279747

Keyword

nonn

Author

R. H. Hardin, Dec 18 2016

Status

approved