A251315 Number of (n+1)X(6+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

894, 6717, 48980, 361845, 2688099, 20080487, 149982413, 1118147932, 8339278058, 62282522930, 465322296567, 3474970062796, 25946388026878, 193774924760383, 1447385899773104, 10810627973172104, 80740157829966698, 603025339161891324

Offset

1,1

Comments

Column 6 of A251317

Links

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

Formula

Empirical: a(n) = 34*a(n-1) -560*a(n-2) +6078*a(n-3) -48943*a(n-4) +308559*a(n-5) -1566445*a(n-6) +6511537*a(n-7) -22375703*a(n-8) +63785808*a(n-9) -150461053*a(n-10) +290535552*a(n-11) -447421686*a(n-12) +514662450*a(n-13) -349575947*a(n-14) -110030485*a(n-15) +721140799*a(n-16) -1154390677*a(n-17) +1115896183*a(n-18) -601911588*a(n-19) -77410187*a(n-20) +549773049*a(n-21) -654771081*a(n-22) +494568920*a(n-23) -274584584*a(n-24) +121966579*a(n-25) -43228651*a(n-26) +4188852*a(n-27) +11167249*a(n-28) -10337396*a(n-29) +4829526*a(n-30) -1488803*a(n-31) +239091*a(n-32) +47360*a(n-33) -39329*a(n-34) +20491*a(n-35) -7917*a(n-36) +2263*a(n-37) -466*a(n-38) +31*a(n-39) -9*a(n-40) +2*a(n-41) +2*a(n-42) for n>44

Example

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

Crossrefs

Sequence in context: A063878 A063167 A210007 * A218814 A264329 A287944

Adjacent sequences: A251312 A251313 A251314 * A251316 A251317 A251318

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved