%I A117584
%S A117584 1,1,2,1,3,5,1,4,7,12,1,5,9,17,29,1,6,11,22,41,70,1,7,13,27,53,99,169,
               1,
%T A117584 8,15,32,65,128,239,408,1,9,17,37,77,157,309,577,985,1,10,19,42,89,186,
%U A117584 379,746,1393,2378
%N A117584 Generalized Pellian triangle.
%C A117584 Diagonals of the triangle are composed of the infinite set of Pellian 
               sequences. Right border = A000129. Next diagonal going to the left 
               = A001333 starting (1, 3, 7, 17...). A048654 = (1, 4, 9,...). A048655 
               = (1, 5, 11,...). A048693 = (1, 6, 13...); and so on.
%F A117584 Antidiagonals of the generalized Pellian array. First row of the array 
               = A000129: (1, 2, 5, 12...). n-th row of the array starts (1, n+1,
               ...); as a Pellian sequence.
%e A117584 First few rows of the triangle are:
%e A117584 1;
%e A117584 1, 2;
%e A117584 1, 3, 5;
%e A117584 1, 4, 7, 12;
%e A117584 1, 5, 9, 17, 29;
%e A117584 1, 6, 11, 22, 41, 70;
%e A117584 1, 7, 13, 27, 53, 99, 169;
%e A117584 ...
%e A117584 The triangle rows are antidiagonals of the generalized Pellian array:
%e A117584 1, 2, 5, 12, 29,...
%e A117584 1, 3, 7, 17, 41,...
%e A117584 1, 4, 9, 22, 53,...
%e A117584 1, 5, 11, 27, 65,...
%e A117584 ...
%e A117584 For example, in the row (1, 5, 11, 27, 65...), 65 = 2*27 + 11.
%Y A117584 Cf. A000129, A001333, A048654, A048655, A048693.
%Y A117584 Sequence in context: A093412 A119355 A076110 this_sequence A047997 A049069 
               A030237
%Y A117584 Adjacent sequences: A117581 A117582 A117583 this_sequence A117585 A117586 
               A117587
%K A117584 nonn
%O A117584 1,3
%A A117584 Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 29 2006