A267640 Number of nX4 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

5, 50, 189, 1015, 2887, 12623, 32303, 131673, 319541, 1277029, 3001299, 12025963, 27634899, 112196145, 253256721, 1046786789, 2326596207, 9807566523, 21492349119, 92416468657, 199851940021, 876060050789, 1870775860883

Offset

1,1

Comments

Column 4 of A267644.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +57*a(n-2) -319*a(n-3) -1391*a(n-4) +9145*a(n-5) +18468*a(n-6) -155864*a(n-7) -132459*a(n-8) +1760919*a(n-9) +254909*a(n-10) -13917643*a(n-11) +4638860*a(n-12) +79124590*a(n-13) -54513835*a(n-14) -327439835*a(n-15) +320570891*a(n-16) +985750855*a(n-17) -1225493352*a(n-18) -2130193456*a(n-19) +3242322831*a(n-20) +3203056845*a(n-21) -6029044853*a(n-22) -3134570201*a(n-23) +7833336809*a(n-24) +1655845581*a(n-25) -6967179434*a(n-26) -21114162*a(n-27) +4096193100*a(n-28) -565113380*a(n-29) -1504086120*a(n-30) +349509240*a(n-31) +309916800*a(n-32) -91209600*a(n-33) -27216000*a(n-34) +9072000*a(n-35)

Example

Some solutions for n=6
..0..1..1..0....0..1..0..0....0..0..1..0....0..0..1..1....0..0..1..1
..1..1..0..1....1..0..1..1....1..1..0..1....1..0..1..0....1..0..1..1
..0..0..1..0....0..1..0..0....1..0..1..1....0..1..0..0....0..1..0..0
..1..1..0..1....0..0..1..1....0..0..1..0....1..0..1..1....1..0..1..0
..0..0..1..0....1..0..1..1....0..1..0..0....0..1..0..0....1..1..0..1
..0..1..0..0....1..1..0..0....1..0..1..1....1..0..1..1....0..1..0..0

Crossrefs

Cf. A267644.

Sequence in context: A274067 A069540 A366678 * A238650 A281606 A061160

Adjacent sequences: A267637 A267638 A267639 * A267641 A267642 A267643

Keyword

nonn

Author

R. H. Hardin, Jan 18 2016

Status

approved