Search: id:A091042
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%I A091042
%S A091042 1,1,3,1,10,5,1,21,35,7,1,36,126,84,9,1,55,330,462,165,11,1,78,715,1716,
%T A091042 1287,286,13,1,105,1365,5005,6435,3003,455,15,1,136,2380,12376,24310,
%U A091042 19448,6188,680,17,1,171,3876,27132,75582,92378,50388,11628,969,19,1
%N A091042 Triangle of even numbered entries of odd numbered rows of Pascal's triangle 
               A007318.
%C A091042 The row polynomials Pe(n,x) := sum(a(n,m)*x^m,m=0..n) appear as numerators 
               of the generating functions for the even numbered column sequences 
               of array A034870.
%C A091042 Elements have the same parity as those of Pascal's triangle.
%H A091042 W. Lang, <a href="http://www-itp.physik.uni-karlsruhe.de/~wl/EISpub/A091042.text">
               First 9 rows</a>.
%F A091042 a(n, m) = binomial(2*n+1, 2*m)=A007318(2*n+1, 2*m), n>=m>=0, else 0.
%Y A091042 Sequence in context: A126954 A107870 A078817 this_sequence A111418 A113187 
               A057967
%Y A091042 Adjacent sequences: A091039 A091040 A091041 this_sequence A091043 A091044 
               A091045
%K A091042 nonn,easy,tabl
%O A091042 0,3
%A A091042 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Jan 23 2004

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