A205749 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order

677, 4256, 45985, 383290, 3869807, 34977686, 341919297, 3167656992, 30455717868, 285553796676, 2723341716429, 25674383048106, 243954861350237, 2305675383712232, 21870813304967748, 206946895127931564

Offset

1,1

Comments

Column 4 of A205753

Links

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

Formula

Empirical: a(n) = 94*a(n-2) +224*a(n-3) -1907*a(n-4) -8150*a(n-5) +10705*a(n-6) +124700*a(n-7) +82378*a(n-8) -1059534*a(n-9) -1527048*a(n-10) +5445072*a(n-11) +9604580*a(n-12) -16870180*a(n-13) -32117532*a(n-14) +25187094*a(n-15) +64243155*a(n-16) +26146616*a(n-17) -150298259*a(n-18) -238127706*a(n-19) +755126038*a(n-20) +549144126*a(n-21) -2951195030*a(n-22) +81937254*a(n-23) +6864564730*a(n-24) -5117346094*a(n-25) -10722653002*a(n-26) +19558605066*a(n-27) +16502068621*a(n-28) -41383934136*a(n-29) -31092444251*a(n-30) +53901337928*a(n-31) +50250588034*a(n-32) -38281275980*a(n-33) -50842720265*a(n-34) +3271793248*a(n-35) +22060769364*a(n-36) +16479155596*a(n-37) +8369893040*a(n-38) -10071578040*a(n-39) -13997336448*a(n-40) +114765472*a(n-41) +5630448384*a(n-42) +1349974528*a(n-43) -717565952*a(n-44) -252968960*a(n-45) for n>46

Example

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

Crossrefs

Sequence in context: A142755 A158386 A031730 * A108824 A205471 A144381

Adjacent sequences: A205746 A205747 A205748 * A205750 A205751 A205752

Keyword

nonn

Author

R. H. Hardin Jan 30 2012

Status

approved