A209965 Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in row major order

162, 13529, 870686, 53890394, 3143493049, 176163769267, 9585247795332, 510324389383430, 26728547640264511, 1382481145423604439, 70813668245584753816, 3599637037473025226780, 181875667113421394973161

Offset

1,1

Comments

Column 4 of A209969

Links

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

Formula

Empirical: a(n) = 160*a(n-1) -9858*a(n-2) +286721*a(n-3) -3505459*a(n-4) -7704489*a(n-5) +640517305*a(n-6) -4759487502*a(n-7) -21219049490*a(n-8) +420859791361*a(n-9) -878171254221*a(n-10) -12643232573808*a(n-11) +66259330277918*a(n-12) +122870759491994*a(n-13) -1553376671736484*a(n-14) +1219539182999473*a(n-15) +17359779478680752*a(n-16) -39146051553201926*a(n-17) -91438263542603406*a(n-18) +373898684344261096*a(n-19) +116854653298320024*a(n-20) -1799083158352232088*a(n-21) +998160450833133144*a(n-22) +4801216485839890224*a(n-23) -5451035382131524304*a(n-24) -7054956173126826080*a(n-25) +12732134852398029184*a(n-26) +4672289972159061760*a(n-27) -16728156971141573696*a(n-28) +1059265242914046976*a(n-29) +13059429141341396224*a(n-30) -4207097515631301632*a(n-31) -5978493921676298752*a(n-32) +3137966625793618432*a(n-33) +1468906693869291520*a(n-34) -1139164366776567808*a(n-35) -134802883891748864*a(n-36) +213153759748931584*a(n-37) -11638547304415232*a(n-38) -18765649522720768*a(n-39) +2857764298162176*a(n-40) +564292134895616*a(n-41) -120413963157504*a(n-42) -2136276467712*a(n-43) +869730877440*a(n-44)

Example

Some solutions for n=4
..0..0..1..0..0....0..0..0..0..0....0..0..1..2..1....0..0..0..0..0
..1..0..1..1..0....0..1..0..1..0....1..0..1..1..1....0..0..0..0..0
..0..0..0..0..1....1..0..1..0..0....0..0..0..0..1....0..0..0..0..0
..2..2..0..0..0....1..1..0..0..2....3..0..1..0..1....0..0..1..0..0
..0..0..0..0..3....3..1..1..0..0....3..0..1..0..0....2..0..0..0..3

Crossrefs

Sequence in context: A022151 A279917 A291131 * A230837 A183812 A036914

Adjacent sequences: A209962 A209963 A209964 * A209966 A209967 A209968

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved