A204835 Number of (n+1)X4 0..2 arrays with the permanents of all 2X2 subblocks equal and nonzero

318, 1616, 7070, 34100, 157872, 752028, 3530808, 16789864, 79293448, 377319812, 1788274836, 8518844116, 40475837046, 193014313760, 918808191844, 4385300981366, 20905548073454, 99850385810890, 476532537931898

Offset

1,1

Comments

Column 3 of A204840

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +46*a(n-2) -463*a(n-3) -827*a(n-4) +11584*a(n-5) +7209*a(n-6) -167177*a(n-7) -24235*a(n-8) +1555772*a(n-9) -108939*a(n-10) -9844492*a(n-11) +1639028*a(n-12) +43404736*a(n-13) -9040868*a(n-14) -134200436*a(n-15) +30728164*a(n-16) +288648563*a(n-17) -71549296*a(n-18) -422266864*a(n-19) +116364363*a(n-20) +403049929*a(n-21) -126818335*a(n-22) -233198888*a(n-23) +83721106*a(n-24) +71218296*a(n-25) -28108413*a(n-26) -8643432*a(n-27) +3559710*a(n-28) +142560*a(n-29) -78408*a(n-30)

Example

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

Crossrefs

Sequence in context: A359012 A278131 A075153 * A281078 A262846 A225579

Adjacent sequences: A204832 A204833 A204834 * A204836 A204837 A204838

Keyword

nonn

Author

R. H. Hardin Jan 19 2012

Status

approved