|
| |
|
|
A240003
|
|
Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
|
|
1
|
|
|
|
28, 256, 1372, 6527, 27415, 104291, 363859, 1173141, 3539402, 10055917, 27072084, 69433880, 170442542, 402042194, 914489241, 2012051851, 4293710454, 8908363984, 18007433696, 35530979384, 68546844725, 129490989279, 239852605993
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Row 4 of A240000
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
|
FORMULA
|
Empirical: a(n) = (1/30411275102208000)*n^19 + (1/914624815104000)*n^18 + (397/2134124568576000)*n^17 + (37/62768369664000)*n^16 + (2567/6276836966400)*n^15 - (77899/8966909952000)*n^14 + (121042813/188305108992000)*n^13 - (5389171/258660864000)*n^12 + (469998043/603542016000)*n^11 - (20022197893/877879296000)*n^10 + (5869313250161/9656672256000)*n^9 - (9505177279259/689762304000)*n^8 + (12579369755410273/47076277248000)*n^7 - (3647143231803217/840647808000)*n^6 + (50430900400493621/871782912000)*n^5 - (804068701944948239/1307674368000)*n^4 + (64298607619642973/12864852000)*n^3 - (25675604169133123/882161280)*n^2 + (25119199779142691/232792560)*n - 191027452 for n>20
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..0..0..3..3....0..3..3..0..0....0..0..0..0..0....0..0..0..0..3
..0..0..3..3..2....0..0..3..1..0....0..0..0..3..3....3..3..0..0..0
..3..3..0..2..2....0..3..3..1..3....3..3..0..2..2....2..2..3..3..0
..0..2..2..0..3....0..2..1..2..3....3..2..1..2..2....2..1..3..2..2
|
|
|
CROSSREFS
|
Sequence in context: A042522 A025517 A222267 * A225242 A189606 A336294
Adjacent sequences: A240000 A240001 A240002 * A240004 A240005 A240006
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin, Mar 30 2014
|
|
|
STATUS
|
approved
|
| |
|
|
