Search: id:A060921
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%I A060921
%S A060921 1,3,2,8,10,3,21,38,22,4,55,130,111,40,5,144,420,474,256,65,6,377,1308,
%T A060921 1836,1324,511,98,7,987,3970,6666,6020,3130,924,140,8,2584,11822,23109,
%U A060921 25088,16435,6588,1554,192,9
%N A060921 Bisection of Fibonacci triangle A037027: odd indexed members of column 
               sequences of A037027 (not counting leading zeros).
%C A060921 Row sums give A002450. Column sequences (without leading zeros) give 
               for m=0..5: A001906, 2*A001870, A061182, 4*A061183, A061184, 2*A061185.
%C A060921 Companion triangle (odd indexed members) A060920.
%F A060921 a(n, m)=A037027(2*n+1-m, m).
%F A060921 a(n, m)= (2*(n-m+1)*A060920(n, m-1)+2*(2*n+1)*a(n-1, m-1))/(5*m), n >
               = m>0; a(n, 0) := S(n, 3)=A001906(n+1) with Chebyshev's S(n, x) polynomials 
               A049310; else 0.
%F A060921 G.f. for column m >= 0: x^m*pFo(m+1, x)/(1-3*x+x^2)^(m+1), where pFo(n, 
               x) := sum(A061177(n-1, m)*x^m, m=0..n-1) (row polynomials of signed 
               triangle A061177).
%F A060921 G.f.: 1/(1-(3+2*y)*x+(1+y)^2*x^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Oct 11 2003
%e A060921 {1}; {3,2}; {8,10,3}; {21,38,22,4}; ...; pFo(2,x)= 2*(1-x).
%Y A060921 Sequence in context: A057163 A130918 A021308 this_sequence A163356 A095013 
               A094188
%Y A060921 Adjacent sequences: A060918 A060919 A060920 this_sequence A060922 A060923 
               A060924
%K A060921 nonn,easy,tabl
%O A060921 0,2
%A A060921 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 
               2001

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