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A061047
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Numerator of 1/49 - 1/n^2.
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16
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0, 15, 32, 51, 72, 95, 120, 3, 176, 207, 240, 275, 312, 351, 8, 435, 480, 527, 576, 627, 680, 15, 792, 851, 912, 975, 1040, 1107, 24, 1247, 1320, 1395, 1472, 1551, 1632, 5, 1800, 1887, 1976, 2067, 2160, 2255, 48, 2451, 2552, 2655, 2760, 2867
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OFFSET
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7,2
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COMMENTS
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a(n) = (n+7)^2-49 = n*(n+14) = A098848(n), except a(7p). The corresponding series of atomic transitions is named Hansen-Strong. It comes after Lyman (1906-1914), Balmer (1885), Paschen (1908), Brackett (1922), Pfund (1924) and Humphreys series (1952 not 1953, justified later). - Paul Curtz, Oct 07 2008
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LINKS
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MATHEMATICA
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Table[Numerator[1/49-1/n^2], {n, 7, 70}] (* Harvey P. Dale, Apr 26 2016 *)
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PROG
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(PARI) a(n) = numerator(1/49 - 1/n^2); \\ Michel Marcus, Aug 15 2013
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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