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A231801
Number of (n+1)X(3+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one
1
32, 252, 1699, 12044, 92380, 678081, 4939746, 36427030, 268422913, 1972567930, 14505462130, 106728541421, 785061434964, 5774194022898, 42473427237535, 312423970277246, 2298061685110392, 16903657650401177, 124337398895901744
OFFSET
1,1
COMMENTS
Column 3 of A231806
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +10*a(n-2) +63*a(n-3) +42*a(n-4) -662*a(n-5) -1140*a(n-6) +905*a(n-7) -1388*a(n-8) +5735*a(n-9) +6185*a(n-10) -3923*a(n-11) +19540*a(n-12) +11566*a(n-13) -49577*a(n-14) +77585*a(n-15) -154556*a(n-16) +110582*a(n-17) -87034*a(n-18) +10724*a(n-19) +21118*a(n-20) -19280*a(n-21) +32064*a(n-22) +87255*a(n-23) -49901*a(n-24) +5955*a(n-25) -30246*a(n-26) +2649*a(n-27) +15546*a(n-28) -15886*a(n-29) -9862*a(n-30) +11413*a(n-31) +35*a(n-32) -1316*a(n-33) -1895*a(n-34) +449*a(n-35) +1537*a(n-36) +876*a(n-37) -132*a(n-38) -30*a(n-39) -22*a(n-40) -55*a(n-41) -15*a(n-42) -24*a(n-43) -12*a(n-44) -2*a(n-45)
EXAMPLE
Some solutions for n=5
..0..0..0..1....1..0..0..0....1..1..0..0....1..0..0..0....0..0..0..1
..1..0..0..0....0..0..1..0....0..0..0..1....0..1..0..1....1..0..0..1
..1..0..0..1....1..0..1..0....0..0..1..1....0..0..0..1....0..1..0..0
..0..0..0..0....0..0..0..0....0..1..0..0....0..0..0..1....0..0..0..0
..0..0..1..0....0..0..0..0....0..0..0..0....1..0..0..1....0..0..0..0
..1..0..0..1....1..0..1..0....1..0..1..0....1..0..0..1....0..0..1..0
CROSSREFS
Sequence in context: A134846 A066392 A300565 * A250280 A159982 A195592
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 13 2013
STATUS
approved