A207715 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically

26, 676, 6186, 66339, 805154, 10150118, 131365535, 1717508184, 22609656270, 298602852465, 3951916615062, 52361336460762, 694262252986965, 9209037126814876, 122184478450115942, 1621376985825702435

Offset

1,1

Comments

Column 6 of A207717

Links

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

Formula

Empirical: a(n) = 23*a(n-1) -28*a(n-2) -2457*a(n-3) +10959*a(n-4) +103716*a(n-5) -634422*a(n-6) -2242422*a(n-7) +17887504*a(n-8) +26428898*a(n-9) -300826296*a(n-10) -148435430*a(n-11) +3302459147*a(n-12) -167725595*a(n-13) -24923250810*a(n-14) +9402329532*a(n-15) +133649558772*a(n-16) -78028556072*a(n-17) -520568587713*a(n-18) +375014950947*a(n-19) +1494707791108*a(n-20) -1218224909056*a(n-21) -3195077022510*a(n-22) +2826366520094*a(n-23) +5117419628861*a(n-24) -4809057001697*a(n-25) -6166506004962*a(n-26) +6089323867306*a(n-27) +5603655169466*a(n-28) -5787797018192*a(n-29) -3843410761191*a(n-30) +4150572495465*a(n-31) +1988163477936*a(n-32) -2251338950714*a(n-33) -773685065704*a(n-34) +923849679134*a(n-35) +225428240345*a(n-36) -286200161001*a(n-37) -48815174830*a(n-38) +66619716180*a(n-39) +7766794220*a(n-40) -11560521080*a(n-41) -891616995*a(n-42) +1477500185*a(n-43) +71608012*a(n-44) -136573112*a(n-45) -3795474*a(n-46) +8884698*a(n-47) +115712*a(n-48) -389954*a(n-49) -1066*a(n-50) +10767*a(n-51) -41*a(n-52) -164*a(n-53) +a(n-54) +a(n-55) for n>56

Example

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

Crossrefs

Sequence in context: A208026 A207806 A208367 * A208076 A207551 A207545

Adjacent sequences: A207712 A207713 A207714 * A207716 A207717 A207718

Keyword

nonn

Author

R. H. Hardin Feb 19 2012

Status

approved