Search: id:A061035
Results 1-1 of 1 results found.

%I A061035
%S A061035 0,0,3,0,5,8,0,7,3,15,0,9,16,21,24,0,11,5,1,2,35,0,13,24,33,40,45,48,0,
%T A061035 15,7,39,3,55,15,63,0,17,32,5,56,65,8,77,80,0,19,9,51,4,3,21,91,6,99,0,
%U A061035 21,40,57,72,85,96,105,112,117,120,0,23,11,7,5,95,1,119,1,5,35,143,0
%N A061035 Triangle T(m,n) = numerator of 1/m^2 - 1/n^2, n >= 1, m=n,n-1,n-2,...,
               1.
%C A061035 Wavelengths in hydrogen spectrum are given by Rydberg's formula 1/wavelength 
               = constant*(1/m^2 - 1/n^2).
%D A061035 J. E. Brady and G. E. Humiston, General Chemistry, 3rd. ed., Wiley; p. 
               77.
%H A061035 J. J. O'Connor and E. F. Robertson, <a href="http://www-groups.dcs.st-andrews.ac.uk/
               ~history/Mathematicians/Rydberg.html">Johannes Robert Rydberg</a>
%H A061035 Eric Weisstein's World of Physics, <a href="http://scienceworld.wolfram.com/
               physics/BalmerFormula.html">Balmer Formula</a>
%e A061035 Triangle 1/m^2-1/n^2, m >= 1, 1<=n<=m, (i.e. with rows reversed) begins
%e A061035 0
%e A061035 3/4, 0
%e A061035 8/9, 5/36, 0
%e A061035 15/16, 3/16, 7/144, 0
%e A061035 24/25, 21/100, 16/225, 9/400, 0
%e A061035 35/36, 2/9, 1/12, 5/144, 11/900, 0
%Y A061035 Cf. A061036. Rows give A061037-A061050.
%Y A061035 Sequence in context: A052483 A019915 A052123 this_sequence A021331 A013673 
               A103229
%Y A061035 Adjacent sequences: A061032 A061033 A061034 this_sequence A061036 A061037 
               A061038
%K A061035 nonn,tabl,easy,nice,frac
%O A061035 1,3
%A A061035 N. J. A. Sloane (njas(AT)research.att.com), May 26 2001
%E A061035 More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jul 15 
               2001

Search completed in 0.001 seconds