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A142887
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A vector Markov based on the neutron transmutation of Uranium 238 to Plutonium 239: M0 = {{-144, 92}, {1, 92}}; v[0]={92,238}; v[n]=M0^n.v[0].
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0
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1, 3, 94, 239, 8452, 22082, 814456, 2039996, 70397968, 188494088, 7204148704, 17411854064, 564493160512, 1609094722592, 66749699364736, 148601207638976, 4059354394263808, 13738060802150528, 679354561023860224
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This transition matrix was solved for by linear algebra
and would actually be made up of up to three elementary reaction transitions in the transmutation that happens in nuclear piles.
If the element X(8452, 22082) existed in supernovas and the resulting neutron stars, it might well be a type of "dark matter"?
The mass is about 4*10^(-20) grams and is near modern estimates of the Higgs particle mass.
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REFERENCES
| Geoffrey Wilkinson and F. Albert Cotton, Advanced Inorganic Chemistry,Interscience Publishers, New York,1966,page 1102.
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FORMULA
| M0 = {{-144, 92}, {1, 92}}; v[0]={92,238}; v[n]=M0^n.v[0]; a[n]_out=Round[v[n]/92].
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MATHEMATICA
| M0 = {{-144, 92}, {1, 92}}; v[0] = {92, 238}; v[n_] := v[n] = M0.v[n - 1]; Table[Round[v[n]/92], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Sequence in context: A116292 A139543 A037113 * A093009 A094085 A030262
Adjacent sequences: A142884 A142885 A142886 * A142888 A142889 A142890
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 28 2008
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