Search: id:A060923
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%I A060923
%S A060923 1,4,1,11,17,1,29,80,39,1,76,303,315,70,1,199,1039,1687,905,110,1,521,
%T A060923 3364,7470,6666,2120,159,1,1364,10493,29634,37580,20965,4311,217,1,
%U A060923 3571,31885,109421,181074,148545
%N A060923 Bisection of Lucas triangle A060922: even indexed members of column sequences 
               of A060922 (not counting leading zeros).
%C A060923 Row sums give A060926. Column sequences (without leading zeros) are, 
               for m=0..3: A002878, A060934-6.
%C A060923 Companion triangle A060924 (odd part).
%F A060923 a(n, m)=A060922(2*n-m, m).
%F A060923 a(n, m)=((2*(n-m)+1)*A060924(n-1, m-1) + 2*(4*n-3*m)*a(n-1, m-1) + 4*(2*n-m-1)*A060924(n-2, 
               m-1))/(5*m), m >= n >= 1; a(n, 0)= A002878(n); else 0.
%F A060923 G.f. for column m >= 0: x^m*pLe(m+1, x)/(1-3*x+x^2)^(m+1), where pLe(n, 
               x) := sum(A061186(n, m)*x^m, m=0..n+floor(n/2)) are the row polynomials 
               of the (signed) staircase A061186.
%e A060923 {1}; {4,1}; {11,17,1}; {29,80,39,1}; ...; pLe(2,x)= 1+11*x-11*x^2+4*x^3.
%Y A060923 Sequence in context: A158753 A135552 A109088 this_sequence A143952 A097877 
               A019304
%Y A060923 Adjacent sequences: A060920 A060921 A060922 this_sequence A060924 A060925 
               A060926
%K A060923 nonn,easy,tabl
%O A060923 0,2
%A A060923 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 
               2001

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