Search: id:A060074
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%I A060074
%S A060074 1,1,1,5,5,1,61,61,14,1,1385,1385,331,30,1,50521,50521,12284,1211,55,1,
%T A060074 2702765,2702765,663061,68060,3486,91,1,199360981,199360981,49164554,
%U A060074 5162421,281210,8526,140,1
%N A060074 Triangle A060058 by diagonals.
%C A060074 Row sums give A060059. Columns give A000364 (Euler numbers), A000364, 
               A060075-78 for m=0,..,5.
%C A060074 Triangle can be used to express the Euler numbers E(n)=A000364(n), n 
               >= 2, in terms of the numbers A060080 (scaled sums of squares), according 
               to E(n+2)= sum(a(n,m)*A060080(m+2),m=0..n).
%F A060074 a(n, m)= a(n-1, m-1)+(m+1)^2*a(n, m+1), a(n, -1) := 0, a(0, 0)=1, a(n, 
               m)=0 if n<m.
%F A060074 a(n, m)=A060058(n, n-m).
%e A060074 {1}; {1,1}; {5,5,1}; {61,61,14,1}; ...
%Y A060074 Sequence in context: A075298 A060058 A092766 this_sequence A011501 A114348 
               A125642
%Y A060074 Adjacent sequences: A060071 A060072 A060073 this_sequence A060075 A060076 
               A060077
%K A060074 nonn,easy,tabl
%O A060074 0,4
%A A060074 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 16 
               2001

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