cp's OEIS Frontend

A241429 Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.

%I A241429 #10 Oct 30 2018 10:34:17
%S A241429 3,5,2,3,5,6,9,10,15,21,28,38,49,67,91,122,169,226,312,423,578,791,
%T A241429 1075,1471,2003,2732,3731,5080,6941,9457,12908,17609,24015,32776,
%U A241429 44699,60991,83206,113499,154866,211239,288211,393168,536370,731761,998249,1361895
%N A241429 Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.
%H A241429 R. H. Hardin, <a href="/A241429/b241429.txt">Table of n, a(n) for n = 1..210</a>
%F A241429 Empirical: a(n) = 2*a(n-1) - 2*a(n-3) + a(n-4) + a(n-5) - 2*a(n-6) + a(n-7) + a(n-8) - 2*a(n-9) + 2*a(n-10) - a(n-11) for n>13.
%F A241429 Empirical g.f.: x*(3 - x - 8*x^2 + 5*x^3 + 6*x^4 - 8*x^5 + 2*x^6 + 4*x^7 - 5*x^8 + 3*x^9 - 6*x^11 + 4*x^12) / ((1 - x)*(1 - x - x^2 + x^3 - x^5 + x^6 - x^8 + x^9 - x^10)). - _Colin Barker_, Oct 30 2018
%e A241429 All solutions for n=4:
%e A241429 ..3..3....2..2....3..3
%e A241429 ..3..2....2..0....3..2
%e A241429 ..2..0....2..0....2..0
%e A241429 ..2..0....2..0....3..3
%Y A241429 Column 2 of A241435.
%K A241429 nonn
%O A241429 1,1
%A A241429 _R. H. Hardin_, Apr 22 2014