%I A061036
%S A061036 1,1,4,1,36,9,1,144,16,16,1,400,225,100,25,1,900,144,12,9,36,1,1764,
%T A061036 1225,784,441,196,49,1,3136,576,1600,64,576,64,64,1,5184,3969,324,2025,
%U A061036 1296,81,324,81,1,8100,1600,4900,225,100,400,900,25,100,1,12100,9801
%N A061036 Triangle T(m,n) = denominator of 1/m^2 - 1/n^2, n >= 1, m=n,n-1,n-2,...,
               1.
%C A061036 Wavelengths in hydrogen spectrum are given by Rydberg's formula 1/wavelength 
               = constant*(1/m^2 - 1/n^2).
%D A061036 J. E. Brady and G. E. Humiston, General Chemistry, 3rd. ed., Wiley; p. 
               77.
%H A061036 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 A061036 Eric Weisstein's World of Physics, <a href="http://scienceworld.wolfram.com/
               physics/BalmerFormula.html">Balmer Formula</a>
%e A061036 Triangle 1/m^2-1/n^2, m >= 1, 1<=n<=m, (i.e. with rows reversed) begins
%e A061036 0
%e A061036 3/4, 0
%e A061036 8/9, 5/36, 0
%e A061036 15/16, 3/16, 7/144, 0
%e A061036 24/25, 21/100, 16/225, 9/400, 0
%e A061036 35/36, 2/9, 1/12, 5/144, 11/900, 0
%Y A061036 Cf. A061035. Rows give A061037-A061050.
%Y A061036 Sequence in context: A144284 A144285 A091741 this_sequence A144267 A011801 
               A092667
%Y A061036 Adjacent sequences: A061033 A061034 A061035 this_sequence A061037 A061038 
               A061039
%K A061036 nonn,tabl,easy,nice,frac
%O A061036 1,3
%A A061036 N. J. A. Sloane (njas(AT)research.att.com), May 26 2001
%E A061036 More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jul 15 
               2001