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A213347
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5-quantum transitions in systems of N>=5 spin 1/2 particles, in columns by combination indices.
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3
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1, 12, 84, 7, 448, 112, 2016, 1008, 36, 8064, 6720, 720, 29568, 36960, 7920, 165, 101376, 177408, 63360, 3960, 329472, 768768, 411840, 51480, 715, 1025024, 3075072, 2306304, 480480, 20020, 3075072, 11531520, 11531520
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OFFSET
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5,2
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COMMENTS
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For a general discussion, please see A213343.
This a(n) is for quintuple-quantum transitions (q = 5).
It lists the flattened triangle T(5;N,k) with rows N = 5,6,... and columns N, k = 0..floor((N-5)/2).
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REFERENCES
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LINKS
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FORMULA
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Set q = 5 in: T(q;N,k) = 2^(N-q-2*k)*binomial(N,k)*binomial(N-k,q+k).
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EXAMPLE
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Starting rows of the triangle:
N | k = 0, 1, ..., floor((N-5)/2)
5 | 1
6 | 12
7 | 84 7
8 | 448 112
9 | 2016 1008 36
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MATHEMATICA
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With[{q = 5}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, 15}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 18 2019 *)
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PROG
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CROSSREFS
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KEYWORD
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tabf,nonn
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AUTHOR
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STATUS
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approved
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