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

28, 256, 1372, 6527, 27415, 104291, 363859, 1173141, 3539402, 10055917, 27072084, 69433880, 170442542, 402042194, 914489241, 2012051851, 4293710454, 8908363984, 18007433696, 35530979384, 68546844725, 129490989279, 239852605993

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