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

%I #10 Jul 21 2018 10:07:03

%S 62,482,3746,29114,226274,1758602,13667858,106226618,825593474,

%T 6416514026,49869159026,387583197338,3012297335522,23411580532682,

%U 181954847741906,1414153417389434,10990803008177474,85420541561578922

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

%C Column 7 of A212835.

%H R. H. Hardin, <a href="/A212834/b212834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) + 6*a(n-2).

%F Empirical g.f.: 2*x*(31 + 24*x) / (1 - 7*x - 6*x^2). - _Colin Barker_, Jul 21 2018

%e Some solutions for n=5:

%e ..4....4....2....6....2....4....0....2....4....2....2....0....2....4....2....4

%e ..3....1....2....4....1....0....0....1....6....4....7....5....7....2....5....0

%e ..3....2....0....7....7....2....3....1....0....3....2....6....7....5....2....3

%e ..5....1....1....4....2....6....7....2....3....5....6....1....1....7....1....2

%e ..0....1....6....6....4....4....6....3....2....6....3....5....2....1....4....7

%e ..2....0....2....4....0....3....2....4....2....1....1....3....4....5....5....5

%Y Cf. A212835.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 28 2012

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Last modified April 24 13:24 EDT 2024. Contains 371955 sequences. (Running on oeis4.)