A261264 Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.

1123, 1436, 6795, 26072, 85617, 274100, 1062118, 3488342, 12721239, 41920830, 155836702, 510815882, 1888254136, 6209495774, 22984035493, 75470825466, 279286307313, 917683052186, 3395646295243, 11155308717668, 41278408039419

Offset

1,1

Comments

Column 7 of A261265.

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +79*a(n-4) +a(n-5) +247*a(n-6) -3*a(n-7) +32*a(n-8) -74*a(n-9) -753*a(n-10) -9*a(n-11) -1402*a(n-12) +1289*a(n-13) +7459*a(n-14) -973*a(n-15) -7467*a(n-16) -10676*a(n-17) -6513*a(n-18) +19379*a(n-19) +24282*a(n-20) +9547*a(n-21) -22677*a(n-22) -62038*a(n-23) +189*a(n-24) +70432*a(n-25) +15606*a(n-26) -14003*a(n-27) -6976*a(n-28) -40743*a(n-29) -2370*a(n-30) +24865*a(n-31) -801*a(n-32) +14267*a(n-33) +835*a(n-34) -6129*a(n-35) +1383*a(n-36) -13883*a(n-37) -619*a(n-38) +3247*a(n-39) -246*a(n-40) +6705*a(n-41) +160*a(n-42) -1834*a(n-43) +22*a(n-44) -1348*a(n-45) -15*a(n-46) +441*a(n-47) -10*a(n-48) +153*a(n-49) -a(n-50) -34*a(n-51) -20*a(n-53) -a(n-55) for n>62

Example

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

Crossrefs

Cf. A261265.

Sequence in context: A035859 A105310 A200072 * A125840 A069984 A358420

Adjacent sequences: A261261 A261262 A261263 * A261265 A261266 A261267

Keyword

nonn

Author

R. H. Hardin, Aug 13 2015

Status

approved