Search: id:A106458
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%I A106458
%S A106458 1,2,6,0,30,0,42,0,30,0,66,0,2730,0,6,0,510,0,798,0,330,0,138,0,2730,0,
%T A106458 6,0,870,0,14322,0,510,0,6,0,1919190,0,6,0,13530,0,1806,0,690,0,282,0,
%U A106458 46410,0,66,0,1590,0,798,0,870,0,354,0,56786730
%N A106458 Bernoulli number denominators, with zeros at the odd places.
%C A106458 A027642 is the correct version of this sequence. - N. J. A. Sloane (njas(AT)research.att.com).
%C A106458 Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 19 2009: 
               (Start)
%C A106458 Equals right border of triangle A159688 if zeros are inserted in A159688 
               to
%C A106458 allow for (n+1) terms per row. (End)
%D A106458 Robert M. Young, "Excursions in Calculus" MAA, 1992, p. 91 J. H. Conway 
               & R. K. Guy, "The Book of Numbers", Springer-Verlag, 1996, p. 108
%F A106458 In addition to generating functions as shown in A006954, the Bernoulli 
               numbers starting with B(1)= -1/2 may be generated from the following 
               system of simultaneous equations: (exemplified by 5 rows): 2 0 0 
               0 0 = -1 3 3 0 0 0 = -1 4 6 4 0 0 = -1 5 10 10 5 0 = -1 6 15 20 15 
               6 = -1
%e A106458 Solutions to the system of simultaneous equations with 5 rows: (-1/2, 
               1/6, 0, -1/30, 0)
%Y A106458 Cf. A027642, A006954, A007318.
%Y A106458 A159688 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 19 2009]
%Y A106458 Sequence in context: A057635 A139717 A138703 this_sequence A122685 A109581 
               A056876
%Y A106458 Adjacent sequences: A106455 A106456 A106457 this_sequence A106459 A106460 
               A106461
%K A106458 nonn,frac
%O A106458 0,2
%A A106458 Gary W. Adamson (qntmpkt(AT)yahoo.com), May 02 2005
%E A106458 Typo in one term corrected by Paul Curtz (bpcrtz(AT)free.fr), Jul 16 
               2008

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