cp's OEIS Frontend

A212834 Number of 0..7 arrays of length n+1 with 0 never adjacent to 7.

%I A212834 #10 Jul 21 2018 10:07:03
%S A212834 62,482,3746,29114,226274,1758602,13667858,106226618,825593474,
%T A212834 6416514026,49869159026,387583197338,3012297335522,23411580532682,
%U A212834 181954847741906,1414153417389434,10990803008177474,85420541561578922
%N A212834 Number of 0..7 arrays of length n+1 with 0 never adjacent to 7.
%C A212834 Column 7 of A212835.
%H A212834 R. H. Hardin, <a href="/A212834/b212834.txt">Table of n, a(n) for n = 1..210</a>
%F A212834 Empirical: a(n) = 7*a(n-1) + 6*a(n-2).
%F A212834 Empirical g.f.: 2*x*(31 + 24*x) / (1 - 7*x - 6*x^2). - _Colin Barker_, Jul 21 2018
%e A212834 Some solutions for n=5:
%e A212834 ..4....4....2....6....2....4....0....2....4....2....2....0....2....4....2....4
%e A212834 ..3....1....2....4....1....0....0....1....6....4....7....5....7....2....5....0
%e A212834 ..3....2....0....7....7....2....3....1....0....3....2....6....7....5....2....3
%e A212834 ..5....1....1....4....2....6....7....2....3....5....6....1....1....7....1....2
%e A212834 ..0....1....6....6....4....4....6....3....2....6....3....5....2....1....4....7
%e A212834 ..2....0....2....4....0....3....2....4....2....1....1....3....4....5....5....5
%Y A212834 Cf. A212835.
%K A212834 nonn
%O A212834 1,1
%A A212834 _R. H. Hardin_, May 28 2012