A231379 Number of nX5 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors

12, 113, 1519, 17363, 209118, 2547810, 30936914, 375620622, 4560995236, 55375119088, 672313654008, 8162807379715, 99107740379983, 1203301841913136, 14609703508465925, 177381467975127821, 2153649923765174964

Offset

1,1

Comments

Column 5 of A231382

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -168*a(n-2) +988*a(n-3) -4019*a(n-4) +14018*a(n-5) -38338*a(n-6) +76250*a(n-7) -75318*a(n-8) -25048*a(n-9) -2704*a(n-10) +284955*a(n-11) -215394*a(n-12) -880505*a(n-13) -242350*a(n-14) +5521214*a(n-15) +653795*a(n-16) -10478457*a(n-17) -9279936*a(n-18) +15930956*a(n-19) +21911876*a(n-20) -8411513*a(n-21) -37124626*a(n-22) -3849041*a(n-23) +23286499*a(n-24) -8400505*a(n-25) -9905859*a(n-26) +47524429*a(n-27) +20129245*a(n-28) -116149038*a(n-29) +2411219*a(n-30) +172063757*a(n-31) -3388918*a(n-32) -136545864*a(n-33) -28219012*a(n-34) +67852922*a(n-35) +54667307*a(n-36) +2102952*a(n-37) -12764701*a(n-38) -5492419*a(n-39) -787424*a(n-40) +318583*a(n-41) +347059*a(n-42) +193761*a(n-43) +39772*a(n-44) -696*a(n-45) -1216*a(n-46) for n>47

Example

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

Crossrefs

Sequence in context: A322649 A198375 A124651 * A237855 A055287 A080630

Adjacent sequences: A231376 A231377 A231378 * A231380 A231381 A231382

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved