A260102 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010101

472, 1151, 2768, 7119, 18209, 47498, 121800, 316688, 816233, 2113881, 5460501, 14120119, 36498979, 94341890, 243940644, 630594281, 1630241143, 4214482154, 10894955883, 28166443182, 72813856778, 188242874515, 486636771766

Offset

1,1

Comments

Column 4 of A260106

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +16*a(n-4) -29*a(n-6) +51*a(n-7) -127*a(n-8) -8*a(n-9) +366*a(n-10) -783*a(n-11) +639*a(n-12) +660*a(n-13) -2033*a(n-14) +1968*a(n-15) -1619*a(n-16) +1793*a(n-17) +3541*a(n-18) -7413*a(n-19) -1289*a(n-20) +6703*a(n-21) +3165*a(n-22) -3460*a(n-23) -14509*a(n-24) +8247*a(n-25) +4423*a(n-26) +10598*a(n-27) -15798*a(n-28) -6055*a(n-29) +16608*a(n-30) +24355*a(n-31) -7596*a(n-32) -30915*a(n-33) -13089*a(n-34) +6263*a(n-35) +16611*a(n-36) -4521*a(n-37) -4505*a(n-38) -6759*a(n-39) +14768*a(n-40) +9118*a(n-41) +2224*a(n-42) -14515*a(n-43) -4663*a(n-44) +2666*a(n-45) +5599*a(n-46) -506*a(n-47) -1079*a(n-48) -688*a(n-49) +527*a(n-50) +34*a(n-51) -2*a(n-52) -110*a(n-53) +54*a(n-54) -22*a(n-55) +22*a(n-56) -8*a(n-57) for n>59

Example

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

Crossrefs

Cf. A260106

Sequence in context: A345545 A345798 A235287 * A260135 A259640 A187161

Adjacent sequences: A260099 A260100 A260101 * A260103 A260104 A260105

Keyword

nonn

Author

R. H. Hardin, Jul 16 2015

Status

approved