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A246898 Number of length 6+4 0..n arrays with some pair in every consecutive five terms totalling exactly n.

%I A246898 #6 Jul 23 2025 11:33:03
%S A246898 802,48393,643204,5592169,26346486,107053441,319477960,884303793,
%T A246898 2058978250,4577948761,9125970252,17627483353,31593727774,55331109009,
%U A246898 91774208656,149536831201,233808185970,360429285673,537940839700
%N A246898 Number of length 6+4 0..n arrays with some pair in every consecutive five terms totalling exactly n.
%C A246898 Row 6 of A246892
%H A246898 R. H. Hardin, <a href="/A246898/b246898.txt">Table of n, a(n) for n = 1..63</a>
%F A246898 Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)
%e A246898 Some solutions for n=2
%e A246898 ..0....0....2....0....2....1....0....1....1....0....1....2....2....0....1....0
%e A246898 ..2....2....0....0....1....1....0....0....0....2....0....2....0....1....1....2
%e A246898 ..2....0....0....1....2....2....0....1....1....2....0....0....0....2....1....2
%e A246898 ..0....1....0....0....2....1....1....0....0....2....2....1....1....0....1....2
%e A246898 ..1....1....2....2....1....1....2....2....1....0....2....1....1....0....1....0
%e A246898 ..0....2....0....2....1....2....1....0....2....2....0....1....0....2....0....2
%e A246898 ..2....1....0....0....1....0....1....2....1....1....0....2....0....0....2....1
%e A246898 ..0....0....2....2....2....0....2....0....0....2....2....2....0....0....2....2
%e A246898 ..2....0....2....0....1....0....1....0....1....1....2....0....2....2....1....1
%e A246898 ..1....0....1....2....2....1....1....1....0....2....2....2....2....0....2....1
%K A246898 nonn
%O A246898 1,1
%A A246898 _R. H. Hardin_, Sep 06 2014