A220972 Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX3 array

4, 9, 94, 368, 1455, 6291, 26299, 110743, 467422, 1977507, 8372888, 35432404, 149959535, 634632918, 2685509610, 11363912297, 48087370068, 203484940864, 861064491246, 3643676534812, 15418565689053, 65245164744163

Offset

1,1

Comments

Column 3 of A220977

Links

R. H. Hardin, Table of n, a(n) for n = 1..181

Formula

Empirical: a(n) = 4*a(n-1) +3*a(n-2) -8*a(n-3) -18*a(n-4) +44*a(n-5) +101*a(n-6) -23*a(n-7) -82*a(n-8) +308*a(n-9) -349*a(n-10) +913*a(n-11) +248*a(n-12) -1295*a(n-13) +118*a(n-14) -484*a(n-15) -4140*a(n-16) -4062*a(n-17) +12896*a(n-18) +7486*a(n-19) -22822*a(n-20) +11672*a(n-21) +16011*a(n-22) -24355*a(n-23) +18536*a(n-24) +7304*a(n-25) +19078*a(n-26) -40477*a(n-27) -21631*a(n-28) +35265*a(n-29) -32791*a(n-30) +42230*a(n-31) +30661*a(n-32) +5936*a(n-33) -41786*a(n-34) -189287*a(n-35) +149226*a(n-36) +150739*a(n-37) -186034*a(n-38) +75000*a(n-39) +22730*a(n-40) +36115*a(n-41) -125017*a(n-42) +352978*a(n-43) -108465*a(n-44) -241044*a(n-45) -55078*a(n-46) +143321*a(n-47) +30331*a(n-48) -102872*a(n-49) +209540*a(n-50) -74445*a(n-51) -118583*a(n-52) +76994*a(n-53) +13935*a(n-54) -24623*a(n-55) +22797*a(n-56) -26682*a(n-57) -38672*a(n-58) +73857*a(n-59) -37897*a(n-60) +19*a(n-61) -2970*a(n-62) +10616*a(n-63) -134*a(n-64) -5399*a(n-65) +1161*a(n-66) +2025*a(n-67) +40*a(n-68) -752*a(n-69) -104*a(n-70) +250*a(n-71) -10*a(n-72) for n>79

Example

Some solutions for n=3
..1..0..1....1..1..0....0..1..1....1..0..1....1..1..1....1..1..0....0..0..0
..0..0..0....1..0..0....0..0..0....1..0..1....0..0..0....0..0..0....0..0..1
..1..1..1....1..1..0....1..0..0....1..0..1....1..0..0....0..0..0....0..0..1

Crossrefs

Sequence in context: A115551 A227419 A242097 * A335088 A247009 A245241

Adjacent sequences: A220969 A220970 A220971 * A220973 A220974 A220975

Keyword

nonn

Author

R. H. Hardin Dec 27 2012

Status

approved