

A061043


Numerator of 1/25  1/n^2.


14



0, 11, 24, 39, 56, 3, 96, 119, 144, 171, 8, 231, 264, 299, 336, 3, 416, 459, 504, 551, 24, 651, 704, 759, 816, 7, 936, 999, 1064, 1131, 48, 1271, 1344, 1419, 1496, 63, 1656, 1739, 1824, 1911, 16, 2091, 2184, 2279, 2376, 99, 2576, 2679, 2784
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

5,2


COMMENTS

From Pfund spectrum of hydrogen. Wavelengths in hydrogen spectrum are given by Rydberg's formula 1/wavelength = constant*(1/m^2  1/n^2).
a(n)=(n+5)^225=n*(n+10) except a(5p) p pos. Second (with m=5) of this kind after AO61039,Paschen (m=3) and before A061047,HansenStrong (m=7). For the fourth,what is the value of m in 1/m^21/n^2 ? m=9? [From Paul Curtz, Nov 01 2008]


REFERENCES

J. E. Brady and G. E. Humiston, General Chemistry, 3rd. ed., Wiley; p. 78.


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 5..10000
J. J. O'Connor and E. F. Robertson, Johannes Robert Rydberg
Eric Weisstein's World of Physics, Balmer Formula


MATHEMATICA

Numerator[1/251/Range[5, 60]^2] (* Harvey P. Dale, Jan 28 2013 *)


PROG

(Haskell)
import Data.Ratio ((%), numerator)
a061043 = numerator . (1 % 25 ) . recip . (^ 2) . fromIntegral
 Reinhard Zumkeller, Jan 06 2014


CROSSREFS

Cf. A061035A061050.
Sequence in context: A213991 A213062 A157756 * A098603 A053061 A055820
Adjacent sequences: A061040 A061041 A061042 * A061044 A061045 A061046


KEYWORD

nonn,frac,nice


AUTHOR

N. J. A. Sloane, May 26 2001


STATUS

approved



