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Search: id:A154629
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| A154629 |
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First part of Paschen from Lyman. A147674=81,27,9,27,27,9,27,81,9,/9; a(n)=period 9:repeat 9,3,1,3,3,1,3,9,1. More practical than A147674. Note palindromic first eight terms. |
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+0
1
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| 9, 3, 1, 3, 3, 1, 3, 9, 1, 9, 3, 1, 3, 3, 1, 3, 9, 1, 9, 3, 1, 3, 3, 1, 3, 9, 1, 9, 3, 1, 3, 3, 1, 3, 9, 1, 9, 3, 1, 3, 3, 1, 3, 9, 1
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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First trisection of numerators of Paschen's spectrum of hydrogen A061039 is A144454=0,1,8,5,8,35,16,7,80,11,. Then from Lyman's spectrum of hydrogen A005563=0,3,8,15,24,35,48,63,80,99, A144454=A005563/a(n). In the second part we will see that a(n) is not,like A010685=1,4, for Balmer from Lyman, valuable for corresponding (denominators) trisection A147650.
Terms of the simple continued fraction of 20690/(sqrt(158206085)-10345). Decimal expansion of 310443797/333333333. [From Paolo P. Lava (ppl(AT)spl.at), Feb 17 2009]
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FORMULA
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a(n)=(1/108)*{-85*(n mod 9)+107*[(n+1) mod 9]-61*[(n+2) mod 9]-13*[(n+3) mod 9]+35*[(n+4) mod 9]+11*[(n+5) mod 9]-13*[(n+6) mod 9]+35*[(n+7) mod 9]+83*[(n+8) mod 9]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 19 2009]
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CROSSREFS
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Sequence in context: A097528 A065416 A093312 this_sequence A154489 A085579 A081813
Adjacent sequences: A154626 A154627 A154628 this_sequence A154630 A154631 A154632
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)frfee.fr), Jan 13 2009
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