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Search: id:A123197
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| A123197 |
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A sum of n sequence based on a small energy rotational partition function for para-hydrogen. |
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+0
1
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| -1, 24, 195, 728, 1935, 4224, 8099, 14160, 23103, 35720, 52899, 75624, 104975, 142128, 188355, 245024, 313599, 395640, 492803, 606840, 739599, 893024, 1069155, 1270128, 1498175, 1755624, 2044899, 2368520, 2729103, 3129360, 3572099, 4060224, 4596735, 5184728, 5827395, 6528024
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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I used the sequence to give a relative value to the rotational partition function: Qpara=Sum[(2*K+1)*Exp[ -K*(K+1)*hbar^2/2*kT],{K->even}]
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REFERENCES
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Fredrick T. Wall, Chemical Thermodynamics,W. H, Freeman, San Francisco,1965, page 269
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FORMULA
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a(n) = Sum[(4*n + 1)*(4*n^2 + 2*n - 1), {n, 0, m}]
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MATHEMATICA
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f[m_] = Sum[(4*n + 1)*(4*n^2 + 2*n - 1), {n, 0, m}]; a = Table[f[n], {n, 0, 50}]
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CROSSREFS
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Sequence in context: A047057 A066406 A042114 this_sequence A125361 A126519 A048355
Adjacent sequences: A123194 A123195 A123196 this_sequence A123198 A123199 A123200
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KEYWORD
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uned,sign
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Oct 04 2006
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