%I A130464
%S A130464 1,2,12,83,617,4759,37649,303372,2480181,20518329,171457967,1445229218,
%T A130464 12274844031,104959302925,902902513636,7809311838692,67875146116705,
%U A130464 592568780652517,5194275815373130,45700207950481330,403444930677602011
%N A130464 Main diagonal of square array A130462.
%C A130464 All upper diagonals of square array A130462 have a g.f. D(x,n) equal 
               to the product of this main diagonal g.f. D(x,0) and a power of G(x), 
               the g.f. of A002293: D(x,n) = D(x,0)*G(x)^n, where G(x) satisfies 
               G(x) = 1 + x*G(x)^4.
%e A130464 Square array A130462 begins:
%e A130464 (1), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...;
%e A130464 (1), (2), 3, 4, 5, 6, 7, 8, 9, 10, ...;
%e A130464 (3), 7, (12), 18, 25, 33, 42, 52, ...;
%e A130464 (7), 25, 50, (83), 125, 177, 240, ...;
%e A130464 (25), 75, 200, 377, (617), 932, ...;
%e A130464 (75), 275, 652, 1584, 2919, (4759), ...; ...
%e A130464 where row n+1 equals the partial sums of the sequence resulting from 
               removing the terms in the first column and main diagonal from row 
               n.
%Y A130464 Cf. A130462 (array), A130463 (first column); A002293.
%Y A130464 Sequence in context: A055548 A092850 A052864 this_sequence A006657 A105927 
               A052887
%Y A130464 Adjacent sequences: A130461 A130462 A130463 this_sequence A130465 A130466 
               A130467
%K A130464 nonn
%O A130464 0,2
%A A130464 Paul D. Hanna (pauldhanna(AT)juno.com), May 26 2007