%I A094944
%S A094944 1,17,121,769,5681,39121,274345,1922945,13447009,94165777,659108825,
%T A094944 4613711233,32296542097,226073894609,1582520918281,11077645104385,
%U A094944 77543495432897,542804558486545,3799631689665337,26597422073425409
%N A094944 A sequence with a(n)/a(n-1) converging to 7, generated from a semi-magic 
               square.
%C A094944 3 rows: 1 4 2, 2 1 4, 4 2 1 form a semi-magic square: row sums and columns 
               and the diagonal = 7, the convergent of the sequence.
%F A094944 Let M = the 3 X 3 matrix [1 4 2 / 2 1 4 / 4 2 1], then with M^n * [1 
               0 0] = [p q r], a(n) = p.
%e A094944 a(4) = 769 since M^4 * [1 0 0] = [769 824 808].
%t A094944 a[n_] := (MatrixPower[{{1, 4, 2}, {2, 1, 4}, {4, 2, 1}}, n].{{1}, {0}, 
               {0}})[[1, 1]]; Table[ a[n], {n, 10}] (from Robert G. Wilson v May 
               29 2004)
%Y A094944 Cf. A094943 uses the same format and operations but with different terms.
%Y A094944 Sequence in context: A048714 A010823 A022709 this_sequence A108682 A031213 
               A021003
%Y A094944 Adjacent sequences: A094941 A094942 A094943 this_sequence A094945 A094946 
               A094947
%K A094944 nonn
%O A094944 1,2
%A A094944 Gary W. Adamson (qntmpkt(AT)yahoo.com), May 25 2004
%E A094944 Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 29 
               2004