A184193 Half the number of (n+1)X6 binary arrays with no 2X2 subblock containing exactly one 1

602, 16581, 425802, 11226643, 294738261, 7751834608, 203828058160, 5360172454105, 140957350430161, 3706813750652670, 97479558034241354, 2563460619809141336, 67412393287628933366, 1772771930441706450685

Offset

1,1

Comments

Column 5 of A184197

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=51*a(n-1)-805*a(n-2)+3209*a(n-3)+37453*a(n-4)-417551*a(n-5)+815341*a(n-6)+7216861*a(n-7)-40290699*a(n-8)+24318580*a(n-9)+307333858*a(n-10)-684397564*a(n-11)-709536075*a(n-12)+3625174740*a(n-13)-763760119*a(n-14)-9155414619*a(n-15)+6719109756*a(n-16)+12902695893*a(n-17)-13865362580*a(n-18)-10797221393*a(n-19)+14735900778*a(n-20)+5612692485*a(n-21)-9068116073*a(n-22)-1937157517*a(n-23)+3292107469*a(n-24)+482465491*a(n-25)-683386889*a(n-26)-85241972*a(n-27)+75921724*a(n-28)+9085136*a(n-29)-4088944*a(n-30)-500115*a(n-31)+86878*a(n-32)+11224*a(n-33)-398*a(n-34)-78*a(n-35)-2*a(n-36)

Example

Some solutions for 3X6
..1..0..1..1..0..0....0..1..1..0..1..0....0..1..0..1..0..1....1..0..0..0..0..1
..0..1..0..0..1..1....1..1..1..1..1..1....0..1..1..0..1..0....1..1..1..1..1..1
..0..1..0..0..1..0....0..1..0..0..1..1....1..1..0..1..1..0....1..1..0..1..0..0

Crossrefs

Sequence in context: A251462 A356893 A281561 * A218650 A218180 A218521

Adjacent sequences: A184190 A184191 A184192 * A184194 A184195 A184196

Keyword

nonn

Author

R. H. Hardin Jan 10 2011

Status

approved