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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

%I

%S 28,256,1372,6527,27415,104291,363859,1173141,3539402,10055917,

%T 27072084,69433880,170442542,402042194,914489241,2012051851,

%U 4293710454,8908363984,18007433696,35530979384,68546844725,129490989279,239852605993

%N 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

%C Row 4 of A240000

%H R. H. Hardin, <a href="/A240003/b240003.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=5

%e ..0..0..0..3..3....0..3..3..0..0....0..0..0..0..0....0..0..0..0..3

%e ..0..0..3..3..2....0..0..3..1..0....0..0..0..3..3....3..3..0..0..0

%e ..3..3..0..2..2....0..3..3..1..3....3..3..0..2..2....2..2..3..3..0

%e ..0..2..2..0..3....0..2..1..2..3....3..2..1..2..2....2..1..3..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 30 2014

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Last modified July 24 14:21 EDT 2021. Contains 346273 sequences. (Running on oeis4.)