A186790 Half the number of (n+2)X5 binary arrays with each 3X3 subblock having a sum in 2..7

14825, 440505, 13066921, 387763760, 11506373601, 341441530745, 10131963654512, 300656729278809, 8921712703662435, 264743644646633613, 7856024909886806868, 233120335981141730404, 6917632221635277262722, 205274393382759294343915

Offset

1,1

Comments

Column 3 of A186796

Links

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

Formula

Empirical: a(n)=24*a(n-1)+126*a(n-2)+1198*a(n-3)+2285*a(n-4)-12800*a(n-5)-68324*a(n-6)-362120*a(n-7)-50705*a(n-8)+2113439*a(n-9)+6719496*a(n-10)+2777006*a(n-11)-15499874*a(n-12)-50756304*a(n-13)-51657305*a(n-14)+6397814*a(n-15)+236926659*a(n-16)+436946022*a(n-17)+259056297*a(n-18)-755239126*a(n-19)-1606035071*a(n-20)-889400530*a(n-21)+1444016707*a(n-22)+2658665541*a(n-23)+1157164937*a(n-24)-1455635527*a(n-25)-2247398556*a(n-26)-835866510*a(n-27)+798974959*a(n-28)+1085836508*a(n-29)+386669871*a(n-30)-240604941*a(n-31)-320622355*a(n-32)-120472950*a(n-33)+33343266*a(n-34)+56538968*a(n-35)+24361196*a(n-36)+1316144*a(n-37)-5065886*a(n-38)-2615456*a(n-39)-858968*a(n-40)+152388*a(n-41)+85284*a(n-42)+37800*a(n-43)

Example

Some solutions for 4X5 with a(1,1)=0
..0..0..0..0..0....0..1..1..0..0....0..1..0..1..0....0..1..0..1..0
..0..1..1..1..0....0..1..1..0..0....0..0..1..0..0....0..0..1..1..1
..0..1..1..0..1....0..0..0..0..1....0..1..1..1..1....0..0..0..0..1
..1..0..1..0..1....1..0..1..0..0....0..1..1..1..1....0..0..1..1..1

Crossrefs

Sequence in context: A035919 A234417 A251332 * A234766 A177412 A209947

Adjacent sequences: A186787 A186788 A186789 * A186791 A186792 A186793

Keyword

nonn

Author

R. H. Hardin Feb 26 2011

Status

approved