cp's OEIS Frontend

A248431 Number of length n+2 0..6 arrays with every three consecutive terms having the sum of some two elements equal to twice the third.

%I A248431 #7 Nov 08 2018 08:53:21
%S A248431 61,105,185,327,601,1105,2021,3761,6969,12815,23897,44337,81597,
%T A248431 152209,282457,519895,969849,1799825,3312853,6180081,11468921,
%U A248431 21110367,39381145,73083121,134521133,250947665,465706137,857206439,1599109049,2967610449
%N A248431 Number of length n+2 0..6 arrays with every three consecutive terms having the sum of some two elements equal to twice the third.
%H A248431 R. H. Hardin, <a href="/A248431/b248431.txt">Table of n, a(n) for n = 1..210</a>
%F A248431 Empirical: a(n) = 8*a(n-3) - 11*a(n-6) + 4*a(n-9).
%F A248431 Empirical g.f.: x*(61 + 105*x + 185*x^2 - 161*x^3 - 239*x^4 - 375*x^5 + 76*x^6 + 108*x^7 + 164*x^8) / ((1 - x)*(1 + x + x^2)*(1 - 7*x^3 + 4*x^6)). - _Colin Barker_, Nov 08 2018
%e A248431 Some solutions for n=6:
%e A248431 ..3....4....5....2....5....2....4....2....4....4....4....3....5....3....5....6
%e A248431 ..2....6....3....6....4....4....2....4....2....3....3....4....3....4....4....4
%e A248431 ..4....2....1....4....6....6....0....3....6....5....5....2....4....2....6....5
%e A248431 ..3....4....5....2....5....5....1....2....4....1....1....3....2....3....5....3
%e A248431 ..5....3....3....3....4....4....2....4....2....3....3....4....6....1....4....1
%e A248431 ..1....2....4....4....3....3....3....6....0....2....2....2....4....2....3....2
%e A248431 ..3....4....2....5....5....2....4....2....4....1....4....3....5....3....2....3
%e A248431 ..5....0....6....3....4....4....5....4....2....0....0....1....3....4....4....4
%Y A248431 Column 6 of A248433
%K A248431 nonn
%O A248431 1,1
%A A248431 _R. H. Hardin_, Oct 06 2014