|
|
A231766
|
|
Number of (2+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one
|
|
1
|
|
|
16, 136, 625, 2976, 15625, 84817, 440896, 2280000, 11902500, 62359187, 325513764, 1697812287, 8864034201, 46293362688, 241690224400, 1261713925692, 6587266165489, 34392457554368, 179559008401369, 937448116348715
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 4*a(n-1) +25*a(n-3) +92*a(n-4) -199*a(n-5) -51*a(n-6) -940*a(n-7) -2001*a(n-8) +1652*a(n-9) -54*a(n-10) +6797*a(n-11) +11789*a(n-12) -5313*a(n-13) +1302*a(n-14) -17859*a(n-15) -25925*a(n-16) +7454*a(n-17) -951*a(n-18) +18218*a(n-19) +22763*a(n-20) -3531*a(n-21) +270*a(n-22) -7326*a(n-23) -8414*a(n-24) +641*a(n-25) -33*a(n-26) +1169*a(n-27) +1281*a(n-28) -43*a(n-29) +3*a(n-30) -67*a(n-31) -71*a(n-32) +a(n-33) +a(n-35) +a(n-36)
|
|
EXAMPLE
|
Some solutions for n=6
..0..0..0..0..1..1..0....0..0..0..1..1..0..0....0..1..1..0..0..0..1
..0..0..0..1..0..0..0....0..0..0..1..0..0..1....1..0..0..1..0..0..0
..1..1..0..0..1..0..1....1..1..0..0..1..0..0....0..0..0..0..0..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|