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Search: id:A143025
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| A143025 |
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Numerator of 1/n^2-1/(3n)^2. |
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+0
3
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| 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1, 8, 2, 8, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This can be generated from the transitions between principal quantum numbers n and 3n in the Hydrogen series: A005563(2), A061037(6), A061039(9), A061041(12), A061043(15), A061045(18), A061047(21), A061049(24),... (The mention of A005563(2) is somewhat a fluke to maintain the periodic pattern.)
Without first column (0's),square of A005563 and successive spectra is shared in two triangles by principal separatrix period 3:repeat 3,3,1=A144437. 8,2,8,1 is the first of other (secondary) separatrices.
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FORMULA
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Period length 4: a(n+4)=a(n).
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CROSSREFS
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Cf. A045944.
Cf. A144437 for numerators of 1/n^2-1/(4n)^2.
Adjacent sequences: A143022 A143023 A143024 this_sequence A143026 A143027 A143028
Sequence in context: A132716 A134724 A021551 this_sequence A085967 A143531 A019865
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Oct 13 2008
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EXTENSIONS
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Partially edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 10 2008
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