cp's OEIS Frontend

A246000 Number of length 5+2 0..n arrays with no pair in any consecutive three terms totalling exactly n.

%I A246000 #6 Jul 23 2025 11:31:07
%S A246000 2,38,956,7132,40590,153906,496088,1319480,3178490,6857470,13855572,
%T A246000 26075028,46848326,80108042,132346160,210837616,327085938,493492950,
%U A246000 729039980,1053585740,1496758142,2088821218,2874009096,3896630952
%N A246000 Number of length 5+2 0..n arrays with no pair in any consecutive three terms totalling exactly n.
%C A246000 Row 5 of A245995
%H A246000 R. H. Hardin, <a href="/A246000/b246000.txt">Table of n, a(n) for n = 1..210</a>
%F A246000 Empirical: a(n) = 3*a(n-1) +2*a(n-2) -14*a(n-3) +5*a(n-4) +25*a(n-5) -20*a(n-6) -20*a(n-7) +25*a(n-8) +5*a(n-9) -14*a(n-10) +2*a(n-11) +3*a(n-12) -a(n-13)
%e A246000 Some solutions for n=6
%e A246000 ..4....4....0....2....1....0....3....3....0....4....1....0....3....3....4....4
%e A246000 ..5....6....2....2....1....0....1....5....5....5....3....2....4....6....4....5
%e A246000 ..6....5....1....5....2....0....1....5....5....0....4....0....1....4....4....4
%e A246000 ..4....3....1....0....1....5....6....5....0....2....6....0....3....4....4....3
%e A246000 ..6....5....1....2....1....2....3....5....4....5....3....0....4....0....1....1
%e A246000 ..4....0....4....0....4....3....1....3....0....6....5....5....0....1....3....4
%e A246000 ..3....2....6....1....3....6....4....2....5....6....5....3....5....4....2....4
%K A246000 nonn
%O A246000 1,1
%A A246000 _R. H. Hardin_, Aug 09 2014