Search: id:A036283
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%I A036283
%S A036283 6,60,126,120,66,16380,6,4080,7182,3300,138,32760,6,1740,42966,
%T A036283 8160,6,34545420,6,270600,37926,1380,282,1113840,66,3180,21546,
%U A036283 3480,354,1703601900
%N A036283 Write cosec x = 1/x + Sum e_n x^(2n-1)/(2n-1)!; sequence gives denominators 
               of e_n.
%C A036283 Denominator of [2^(2n-1) - 1] * Bernoulli(2n)/n.
%C A036283 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 22 
               2009: (Start)
%C A036283 The products of the first n terms of this sequence appear in the denominators 
               of the a(n) formulae of the right hand columns of triangle A161739. 
               See A000292 (n=1), A107963 (n=2), A161740 (n=3) and A161741 (n=4). 
               The next six values of n show that this pattern persists.
%C A036283 (End)
%D A036283 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, Tenth Printing, 
               1972, p. 75 (4.3.68).
%H A036283 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%H A036283 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/
               Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</
               a>, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 
               1972, p. 75 (4.3.68).
%e A036283 x^(-1)+1/6*x+7/360*x^3+31/15120*x^5+...
%Y A036283 Cf. A036280-A036282.
%Y A036283 Cf. A006953.
%Y A036283 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 
               2009: (Start)
%Y A036283 Equals the denominators of the LS1[ -2*m,n=1] matrix coefficients of 
               A160487 for m = 1, 2, ...
%Y A036283 (End)
%Y A036283 Sequence in context: A007357 A002827 A137498 this_sequence A126576 A121287 
               A069072
%Y A036283 Adjacent sequences: A036280 A036281 A036282 this_sequence A036284 A036285 
               A036286
%K A036283 nonn,frac,easy
%O A036283 1,1
%A A036283 N. J. A. Sloane (njas(AT)research.att.com).
%E A036283 Title corrected and offset changed by Johannes W. Meijer (meijgia(AT)hotmail.com), 
               May 21 2009

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