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A213352
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10-quantum transitions in systems of N >= 10 spin 1/2 particles, in columns by combination indices.
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10
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1, 22, 264, 12, 2288, 312, 16016, 4368, 91, 96096, 43680, 2730, 512512, 349440, 43680, 560, 2489344, 2376192, 495040, 19040, 11202048, 14257152, 4455360, 342720, 3060, 47297536, 77395968, 33860736, 4341120, 116280, 189190144, 386979840, 225738240, 43411200
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OFFSET
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10,2
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COMMENTS
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For a general discussion, please see A213343.
This a(n) is for decuple-quantum transitions (q = 10).
It lists the flattened triangle T(10;N,k) with rows N = 10,11,... and columns k = 0..floor((N-10)/2).
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REFERENCES
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LINKS
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FORMULA
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Set q = 10 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-10)/2)
---+-------------------------------
10 | 1
11 | 22
12 | 264 12
13 | 2288 312
14 | 16016 4368 91
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MATHEMATICA
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With[{q = 10}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, q, q + 10}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 20 2019 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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