Search: id:A060920
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%I A060920
%S A060920 1,2,1,5,5,1,13,20,9,1,34,71,51,14,1,89,235,233,105,20,1,233,744,942,
%T A060920 594,190,27,1,610,2285,3522,2860,1295,315,35,1,1597,6865,12473,12402,
%U A060920 7285,2534,490,44,1,4181,20284
%N A060920 Bisection of Fibonacci triangle A037027: even indexed members of column 
               sequences of A037027 (not counting leading zeros).
%C A060920 Row sums give A007583. Column sequences (without leading zeros) give 
               for m=0..5: A001519, A054444, A061178-81.
%C A060920 Companion triangle (odd indexed members) A060921.
%F A060920 T(n, m)= A037027(2*n-m, m).
%F A060920 T(n, m)=((2*(n-m)+1)*A060921(n-1, m-1)+4*n*T(n-1, m-1))/(5*m), n >= m 
               >= 1; T(n, 0) := F(n)^2+F(n+1)^2 = A001519(n), with the Fibonacci 
               numbers F(n)=A000045(n); else 0.
%F A060920 G.f. for column m >= 0: x^m*pFe(m+1, x)/(1-3*x+x^2)^(m+1), where pFe(n, 
               x) := sum(A061176(n, m)*x^m, m=0..n) (row polynomials of signed triangle 
               A061176).
%F A060920 G.f.: (1-x*(1+y))/(1-(3+2*y)*x+(1+y)^2*x^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Oct 11 2003
%e A060920 {1}; {2,1}; {5,5,1}; {13,20,9,1}; ...; pFe(2,x)=1-x+x^2.
%Y A060920 Sequence in context: A126350 A079502 A126124 this_sequence A107842 A126216 
               A124733
%Y A060920 Adjacent sequences: A060917 A060918 A060919 this_sequence A060921 A060922 
               A060923
%K A060920 nonn,easy,tabl
%O A060920 0,2
%A A060920 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 
               2001

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