A184148 1/4 the number of (n+1) X 5 0..3 arrays with every 2 X 2 subblock having at least two equal elements connected horizontally or vertically.

65227, 19882711, 5910714349, 1764076701091, 526180845527509, 156962462690881921, 46821946289531019895, 13967039613166010435737, 4166381659118957097567007, 1242835860522648210527787511

Offset

1,1

Comments

Column 4 of A184153.

Links

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

Formula

Empirical: a(n) = 337*a(n-1)-8104*a(n-2)-1212723*a(n-3)+55423428*a(n-4)+243748616*a(n-5)-55724746410*a(n-6)+1180316913749*a(n-7)-7148510691053*a(n-8)-59840603520013*a(n-9)+934968573133050*a(n-10)-1598999423035027*a(n-11)-27702978848203293*a(n-12)+119454717270845028*a(n-13)+223987686124481997*a(n-14)-1840120640662271311*a(n-15)+773833281643738361*a(n-16)+9090830762002726004*a(n-17)-12107110290106201695*a(n-18)-9799264640486546212*a(n-19)+25471762055592565538*a(n-20)-11773742330427714096*a(n-21)-1826163119557948194*a(n-22)+2019141649808688636*a(n-23)-242177999041318032*a(n-24).

Example

Some solutions for 3 X 5 with a(1,1)=0
..0..0..0..1..3....0..0..0..1..1....0..0..0..1..3....0..0..0..1..3
..0..0..0..1..1....0..0..0..0..2....0..0..0..1..2....0..0..0..0..0
..3..0..3..1..3....3..1..3..0..1....1..0..1..1..3....2..0..0..0..0

Crossrefs

Cf. A184153.

Sequence in context: A234908 A204640 A015344 * A083608 A102277 A013692

Adjacent sequences: A184145 A184146 A184147 * A184149 A184150 A184151

Keyword

nonn

Author

R. H. Hardin, Jan 09 2011

Status

approved