login
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.
1
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
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 A376465
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 11 2017
STATUS
approved