Search: id:A060924
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%I A060924
%S A060924 3,7,6,18,38,9,47,158,120,12,123,566,753,280,15,322,1880,3612,2568,545,
%T A060924 18,843,5964,15040,16220,7043,942,21,2207,18342,57366,83780,57560,
%U A060924 16536,1498,24,5778,55162,206115
%N A060924 Bisection of Lucas triangle A060922: odd indexed members of column sequences 
               of A060922 (not counting leading zeros).
%C A060924 Row sums give A060927. Column sequences (without leading zeros) are, 
               for m=0..5: A005248(n+1), 2*A061171, A061172, 4*A061173, A061174, 
               2*A061175.
%C A060924 Companion triangle A060923 (even part).
%F A060924 a(n, m)=A060922(2*n+1-m, m).
%F A060924 a(n, m)=((2*n-m+1)*A060923(n, m-1) + 2*(2*(2*n+1)-3*m)*a(n-1, m-1) + 
               4*(2*n-m)*A060923(n-1, m-1))/(5*m), m >= n >= 1; a(n, 0)= A0024850(n); 
               else 0.
%F A060924 G.f. for column m >= 0: x^m*pLo(m+1, x)/(1-3*x+x^2)^(m+1), where pLo(n, 
               x) := sum(A061187(n-1, m)*x^m, m=0..n+floor((n-1)/2)) are the row 
               polynomials of the (signed) staircase A061187.
%e A060924 {3}; {7,6}; {18,38,9}; {47,158,120,12}; .. pLo(2,x)= 2*(3+x-2*x^2).
%Y A060924 Sequence in context: A070882 A109635 A095360 this_sequence A013564 A009467 
               A131608
%Y A060924 Adjacent sequences: A060921 A060922 A060923 this_sequence A060925 A060926 
               A060927
%K A060924 nonn,easy,tabl
%O A060924 0,1
%A A060924 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 
               2001

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