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Search: id:A108212
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| A108212 |
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Sequence that approximates the binding energy of last nucleon curve. |
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1
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| 399404041, 156868, 13421, 3518, 1478, 800, 505, 353, 265, 209, 172, 146, 127, 113, 102, 93, 86, 80, 76, 72, 68, 65, 63, 61, 59, 57, 56, 55, 54, 53, 52, 51, 50, 50, 49, 49, 49, 48, 48, 48, 47, 47, 47, 47, 47, 47, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 47
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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With K as the scale the relationship is approximately: K*Floor[P[n]]=Abs[Ebinding]/A As this sum is modeled om the PrimePi[n] asymptotic : Pi[n]=(n/Log[n])*Sum[i!/log[n]^i,{i,0.4}] it appears that nuclear binding energy is related to Prime theory in some way. It's upside down, but the curves are very alike. The curve is standard in nuclear physic beginning texts in the 50's and 60's.
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REFERENCES
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W. E. Burcham, Nuclear Physics, 1963, McGraw Hill Co. Inc., New York, Fig 10.1 page 384.
L. Rosenfeld, Nuclear Forces II, 1949, InterScience Publishers, New York, Fig 3.221-1.
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LINKS
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Author?, Title?
Author?, Title?
Author?, Title?
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FORMULA
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p[n_] = (n/(Log[n] - 1))*Sum[i!/(Log[n] - 1)^i, {i, 0, 5}] a(n) = Floor[p[n]]
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MATHEMATICA
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p[n_] = (n/(Log[n] - 1))*Sum[i!/(Log[n] - 1)^i, {i, 0, 5}] a = Table[Floor[p[n]], {n, 3, 204}] ListPlot[a]
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CROSSREFS
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Adjacent sequences: A108209 A108210 A108211 this_sequence A108213 A108214 A108215
Sequence in context: A058125 A015369 A103773 this_sequence A103124 A038132 A101770
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 15 2005
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