cp's OEIS Frontend

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.

%I A240003 #6 Jun 02 2025 09:37:31
%S A240003 28,256,1372,6527,27415,104291,363859,1173141,3539402,10055917,
%T A240003 27072084,69433880,170442542,402042194,914489241,2012051851,
%U A240003 4293710454,8908363984,18007433696,35530979384,68546844725,129490989279,239852605993
%N 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.
%C A240003 Row 4 of A240000
%H A240003 R. H. Hardin, <a href="/A240003/b240003.txt">Table of n, a(n) for n = 1..210</a>
%F A240003 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 A240003 Some solutions for n=5
%e A240003 ..0..0..0..3..3....0..3..3..0..0....0..0..0..0..0....0..0..0..0..3
%e A240003 ..0..0..3..3..2....0..0..3..1..0....0..0..0..3..3....3..3..0..0..0
%e A240003 ..3..3..0..2..2....0..3..3..1..3....3..3..0..2..2....2..2..3..3..0
%e A240003 ..0..2..2..0..3....0..2..1..2..3....3..2..1..2..2....2..1..3..2..2
%K A240003 nonn
%O A240003 1,1
%A A240003 _R. H. Hardin_, Mar 30 2014