Search: id:A085738
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%I A085738
%S A085738 1,2,2,6,3,6,1,6,6,1,30,30,15,30,30,1,30,15,15,30,1,42,42,105,105,
%T A085738 105,42,42,1,42,21,105,105,21,42,1,30,30,105,105,105,105,105,30,30,
%U A085738 1,30,15,105,105,105,105,15,30,1,66,66,165,165,1155,231,1155,165
%N A085738 Denominators in triangle formed from Bernoulli numbers.
%C A085738 Triangle is determined by rules 0) the top number is 1; 1) each number 
               is the sum of the two below it; 2) it is left-right symmetric; 3) 
               the numbers in each of the border rows, after the first 3, are alternately 
               0.
%F A085738 T(n, 0) = (-1)^n*Bernoulli(n), T(n, k) = T(n-1, k-1) + T(n, k-1) for 
               k=1..n.
%e A085738 Triangle begins
%e A085738 1
%e A085738 1/2, 1/2
%e A085738 1/6, 1/3, 1/6
%e A085738 0, 1/6, 1/6, 0
%e A085738 -1/30, 1/30, 2/15, 1/30, -1/30
%e A085738 0, -1/30, 1/15, 1/15, -1/30, 0
%e A085738 1/42, -1/42, -1/105, 8/105, -1/105, -1/42, 1/42
%e A085738 0, 1/42, -1/21, 4/105, 4/105, -1/21, 1/42, 0
%e A085738 -1/30, 1/30, -1/105, -4/105, 8/105, -4/105, -1/105, 1/30, -1/30
%Y A085738 Cf. A085737. See A051714/A051715 for another triangle that generates 
               the Bernoulli numbers.
%Y A085738 Sequence in context: A130478 A163890 A128623 this_sequence A100641 A028421 
               A081745
%Y A085738 Adjacent sequences: A085735 A085736 A085737 this_sequence A085739 A085740 
               A085741
%K A085738 nonn,frac
%O A085738 0,2
%A A085738 N. J. A. Sloane (njas(AT)research.att.com) following a suggestion of 
               J. H. Conway, Jul 23 2003

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