|
| |
|
|
A206355
|
|
Number of nX4 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order
|
|
1
|
|
|
|
2, 120, 3284, 91518, 2545230, 70894196, 1973960628, 54973461294, 1530909659694, 42634040850720, 1187302679649470, 33064936696401300, 920817809589881572, 25643653148853690776, 714144422751974649034, 19888051043349007713954
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Column 4 of A206359
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..108
|
|
|
FORMULA
|
Empirical: a(n) = 32*a(n-1) +76*a(n-2) -5904*a(n-3) +1721*a(n-4) +419123*a(n-5) -145197*a(n-6) -17668949*a(n-7) +20880296*a(n-8) +307017229*a(n-9) -259902590*a(n-10) -2211508824*a(n-11) -3884842364*a(n-12) +1052899979*a(n-13) +85838941255*a(n-14) +121001157362*a(n-15) -385025973349*a(n-16) -1252681827229*a(n-17) -1873575838949*a(n-18) +4681783162473*a(n-19) +22323753578645*a(n-20) +9811253613783*a(n-21) -50670876095585*a(n-22) -100273865134560*a(n-23) -84704041294374*a(n-24) +132299239770787*a(n-25) +372399486830938*a(n-26) +189639080959232*a(n-27) -164338224373849*a(n-28) -344164045191618*a(n-29) -220338091824960*a(n-30) -45873259303120*a(n-31) +44287016659527*a(n-32) +292067697148194*a(n-33) +126193726646364*a(n-34) -159628839066498*a(n-35) -61818190307576*a(n-36) +39629245365500*a(n-37) +10915954711700*a(n-38) -10133626522160*a(n-39) +649024333200*a(n-40) +371869896960*a(n-41) -16637166720*a(n-42) for n>43
|
|
|
EXAMPLE
|
Some solutions for n=4
..0..1..2..3....0..1..2..3....0..1..2..0....0..1..2..0....0..1..2..3
..3..2..1..4....1..3..4..0....1..2..0..3....2..3..4..1....2..4..1..2
..4..3..0..1....3..2..0..4....4..3..1..2....3..0..1..2....3..2..4..0
..0..4..2..3....0..4..1..2....2..4..3..0....0..1..3..0....4..0..2..3
|
|
|
CROSSREFS
|
Sequence in context: A153658 A073785 A102355 * A157069 A077540 A187880
Adjacent sequences: A206352 A206353 A206354 * A206356 A206357 A206358
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin Feb 06 2012
|
|
|
STATUS
|
approved
|
| |
|
|
