A226847 Number of nX3 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X4 binary array

23, 417, 4722, 49481, 541932, 6076168, 67929575, 756046291, 8410591772, 93621762980, 1042359550109, 11604658170466, 129189416900910, 1438207535407221, 16011038102586917, 178245305692614279

Offset

1,1

Comments

Column 3 of A226852

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -92*a(n-2) +359*a(n-3) -624*a(n-4) -959*a(n-5) +2737*a(n-6) -2958*a(n-7) -938*a(n-8) +66388*a(n-9) -67900*a(n-10) -140434*a(n-11) +131391*a(n-12) -645340*a(n-13) +1133860*a(n-14) +1036669*a(n-15) -2316284*a(n-16) +3279904*a(n-17) -3262068*a(n-18) -2519280*a(n-19) +5038476*a(n-20) -6539454*a(n-21) +1469332*a(n-22) +740322*a(n-23) +3347439*a(n-24) -7074675*a(n-25) +4010755*a(n-26) +11971008*a(n-27) -5357559*a(n-28) +23304510*a(n-29) +1087226*a(n-30) +208139*a(n-31) +12571537*a(n-32) +1328202*a(n-33) +5790159*a(n-34) +2846511*a(n-35) +11035875*a(n-36) -7395133*a(n-37) +10044100*a(n-38) +13119590*a(n-39) -3462354*a(n-40) +11820094*a(n-41) +4914425*a(n-42) +2025246*a(n-43) +824620*a(n-44) +3582164*a(n-45) -307136*a(n-46) +663570*a(n-47) +619240*a(n-48) -168452*a(n-49) -17568*a(n-50) +2048*a(n-51)

Example

Some solutions for n=3
..1..2..2....1..2..2....0..2..1....0..1..1....1..1..1....0..0..0....1..1..1
..2..2..1....1..2..1....0..2..1....0..0..0....2..2..0....2..1..0....1..1..1
..2..1..1....0..0..0....1..2..0....0..0..1....2..1..0....0..0..0....0..0..2

Crossrefs

Sequence in context: A199821 A009008 A286787 * A203147 A158453 A291128

Adjacent sequences: A226844 A226845 A226846 * A226848 A226849 A226850

Keyword

nonn

Author

R. H. Hardin Jun 19 2013

Status

approved