|
|
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
|
|
1
|
|
|
677, 4256, 45985, 383290, 3869807, 34977686, 341919297, 3167656992, 30455717868, 285553796676, 2723341716429, 25674383048106, 243954861350237, 2305675383712232, 21870813304967748, 206946895127931564
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|