A204074 Number of (n+1)X7 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

23438, 1944977, 173848010, 15960507749, 1480470688070, 137884925726873, 12862680257580962, 1200667125506097389, 112104534764514944606, 10468081339649563612769, 977525613860679565008506

Offset

1,1

Comments

Column 6 of A204076

Links

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

Formula

Empirical: a(n) = 118*a(n-1) -731*a(n-2) -192994*a(n-3) +4365504*a(n-4) +7243432*a(n-5) -853595552*a(n-6) +4227025728*a(n-7) +47143688896*a(n-8) -407296962944*a(n-9) -429798333440*a(n-10) +11467618407936*a(n-11) -17466577684480*a(n-12) -111724579282944*a(n-13) +316040356208640*a(n-14) +361767531462656*a(n-15) -1868808138063872*a(n-16) +221838313259008*a(n-17) +4652179449380864*a(n-18) -2844522127687680*a(n-19) -5181635339747328*a(n-20) +4553597538271232*a(n-21) +2457666202894336*a(n-22) -2755619987652608*a(n-23) -413275992883200*a(n-24) +684703879266304*a(n-25) -18283340234752*a(n-26) -55383771054080*a(n-27) +8506451165184*a(n-28) -260919263232*a(n-29)

Example

Some solutions for n=4
..0..1..2..0..2..2..0....0..0..0..1..2..0..1....0..0..0..1..2..1..2
..1..1..1..2..1..2..2....2..0..2..0..1..2..0....0..0..1..0..1..0..1
..1..0..1..1..1..1..2....0..1..0..1..2..1..2....2..0..0..0..0..2..0
..0..2..0..1..2..1..1....1..0..2..0..1..1..1....1..2..0..0..1..0..2
..0..0..2..0..1..2..1....1..1..0..1..1..1..0....2..1..2..0..0..2..2

Crossrefs

Sequence in context: A252944 A246891 A189656 * A031847 A237528 A234441

Adjacent sequences: A204071 A204072 A204073 * A204075 A204076 A204077

Keyword

nonn

Author

R. H. Hardin Jan 10 2012

Status

approved