A205471 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

677, 9654, 147129, 2368164, 38649376, 637115198, 10546235416, 175062268404, 2910381717975, 48432892623689, 806480855084974, 13434383228654935, 223845611339717176, 3730339300748533737, 62171596821236304515

Offset

1,1

Comments

Column 4 of A205475

Links

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

Formula

Empirical: a(n) = 49*a(n-1) -861*a(n-2) +5021*a(n-3) +33602*a(n-4) -616384*a(n-5) +2159023*a(n-6) +13154843*a(n-7) -126262661*a(n-8) +166866281*a(n-9) +1911261129*a(n-10) -8190366005*a(n-11) -4199925495*a(n-12) +98595747627*a(n-13) -158149981614*a(n-14) -480297554430*a(n-15) +1810623448866*a(n-16) +73856868140*a(n-17) -8830642410840*a(n-18) +10313214783034*a(n-19) +20233405349590*a(n-20) -52335000413976*a(n-21) -5155452594933*a(n-22) +125085995184875*a(n-23) -89591754726765*a(n-24) -148493098940275*a(n-25) +234688188015153*a(n-26) +38812319081071*a(n-27) -279162204744067*a(n-28) +118502255969331*a(n-29) +160693504928624*a(n-30) -157107476872016*a(n-31) -21108318004391*a(n-32) +83650248017101*a(n-33) -23794461371173*a(n-34) -18974234968177*a(n-35) +12562468145490*a(n-36) +410664770730*a(n-37) -2327194771228*a(n-38) +521150033512*a(n-39) +137884941320*a(n-40) -72598222160*a(n-41) +5036772224*a(n-42) +2386207040*a(n-43) -520260992*a(n-44) +31264768*a(n-45)

Example

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

Crossrefs

Sequence in context: A031730 A205749 A108824 * A144381 A097773 A248887

Adjacent sequences: A205468 A205469 A205470 * A205472 A205473 A205474

Keyword

nonn

Author

R. H. Hardin Jan 27 2012

Status

approved