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Search: id:A061041
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| A061041 |
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Numerator of 1/16 - 1/n^2. |
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+0
25
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| 0, 9, 5, 33, 3, 65, 21, 105, 1, 153, 45, 209, 15, 273, 77, 345, 3, 425, 117, 513, 35, 609, 165, 713, 3, 825, 221, 945, 63, 1073, 285, 1209, 5, 1353, 357, 1505, 99, 1665, 437, 1833, 15, 2009, 525, 2193, 143, 2385, 621, 2585, 21, 2793, 725
(list; graph; listen)
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OFFSET
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4,2
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COMMENT
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From Brackett spectrum of hydrogen. Wavelengths in hydrogen spectrum are given by Rydberg's formula 1/wavelength = constant*(1/m^2 - 1/n^2).
A061041(4n+2)=5,21,45=A078371. Also A061037(2n+1). [From Paul Curtz (bpcrtz(AT)free.fr), Oct 05 2008]
First octosection: a(8n)=0,1,3,3,5,15,21, . [From Paul Curtz (bpcrtz(AT)free.fr), Oct 25 2008]
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REFERENCES
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J. E. Brady and G. E. Humiston, General Chemistry, 3rd. ed., Wiley; p. 78.
Frederick Sumner Brackett(1896-1988): Visible and Infra-Red Radiation of Hydrogen, Astrophysical Journal,56, No. 3 (1922) p.154-161, not seen. [From Paul Curtz (bpcrtz(AT)free.fr), Oct 05 2008]
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LINKS
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J. J. O'Connor and E. F. Robertson, Johannes Robert Rydberg
Eric Weisstein's World of Physics, Balmer Formula
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CROSSREFS
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Cf. A061035-A061050.
A045944. [From Paul Curtz (bpcrtz(AT)free.fr), Oct 05 2008]
Sequence in context: A103168 A146282 A117911 this_sequence A035417 A038295 A103362
Adjacent sequences: A061038 A061039 A061040 this_sequence A061042 A061043 A061044
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KEYWORD
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nonn,frac,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 26 2001
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