A208313 Number of nX7 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.

64, 1458, 26772, 459810, 7702668, 127750122, 2110085532, 34794255294, 573347277990, 9445146465474, 155579502783600, 2562580517033736, 42208064346447486, 695201252701136796, 11450503035670908312

Offset

1,1

Comments

Column 7 of A208314

Links

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

Formula

Empirical: a(n) = 65*a(n-1) -1953*a(n-2) +36966*a(n-3) -502122*a(n-4) +5256909*a(n-5) -44318169*a(n-6) +309490947*a(n-7) -1823975982*a(n-8) +9183492558*a(n-9) -39813195762*a(n-10) +149339766420*a(n-11) -486017305326*a(n-12) +1374228095598*a(n-13) -3377800131066*a(n-14) +7218074976993*a(n-15) -13409006027409*a(n-16) +21654224930979*a(n-17) -30400201179594*a(n-18) +37104158581146*a(n-19) -39367401731406*a(n-20) +36289563240060*a(n-21) -29023819710498*a(n-22) +20084298224346*a(n-23) -11967106417902*a(n-24) +6091710309801*a(n-25) -2616943561281*a(n-26) +931245658623*a(n-27) -266848217802*a(n-28) +58935744018*a(n-29) -9341138457*a(n-30) +932678955*a(n-31) -43046721*a(n-32)

Example

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

Crossrefs

Sequence in context: A264086 A239442 A240930 * A145218 A282526 A014794

Adjacent sequences: A208310 A208311 A208312 * A208314 A208315 A208316

Keyword

nonn

Author

R. H. Hardin, Feb 25 2012

Status

approved