A283569 Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

5, 282, 4313, 67892, 945100, 12699250, 164714523, 2089140956, 26034179747, 320066184088, 3892257109768, 46912556808052, 561231923565665, 6671995763846662, 78889299491699749, 928412437363667396

Offset

1,1

Comments

Column 5 of A283572.

Links

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

Formula

Empirical: a(n) = 26*a(n-1) -199*a(n-2) +132*a(n-3) +4265*a(n-4) -17778*a(n-5) -15431*a(n-6) +219544*a(n-7) -281138*a(n-8) -1030440*a(n-9) +2246322*a(n-10) +1755192*a(n-11) -1811285*a(n-12) -3285434*a(n-13) -13913513*a(n-14) +16913132*a(n-15) +1232775*a(n-16) +17203018*a(n-17) -24077179*a(n-18) -4811576*a(n-19) +3633696*a(n-20) +13901264*a(n-21) +3953216*a(n-22) -16310568*a(n-23) -2421451*a(n-24) +6596550*a(n-25) +5162315*a(n-26) -3560308*a(n-27) -4199693*a(n-28) +2503442*a(n-29) +1473667*a(n-30) -1059728*a(n-31) -255854*a(n-32) +261176*a(n-33) +18126*a(n-34) -39936*a(n-35) +1121*a(n-36) +3850*a(n-37) -347*a(n-38) -220*a(n-39) +29*a(n-40) +6*a(n-41) -a(n-42)

Example

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

Crossrefs

Cf. A283572.

Sequence in context: A216662 A203521 A276556 * A252173 A265966 A337540

Adjacent sequences: A283566 A283567 A283568 * A283570 A283571 A283572

Keyword

nonn

Author

R. H. Hardin, Mar 11 2017

Status

approved