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A086116
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Numerator of mean deviation of a symmetrical binomial distribution on n elements.
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5
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1, 1, 3, 3, 15, 15, 35, 35, 315, 315, 693, 693, 3003, 3003, 6435, 6435, 109395, 109395, 230945, 230945, 969969, 969969, 2028117, 2028117, 16900975, 16900975, 35102025, 35102025, 145422675, 145422675, 300540195, 300540195, 9917826435
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OFFSET
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1,3
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COMMENTS
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The numerators of this sequence and denominators (A086117) appear in NMR and spin physics as half of the symmetry-constrained upper bound on polarization transfer in AXn spin-1/2 systems. For example:
(a) in AX3 and AX4 spin systems, the maximum achievable transfer from Xz to Az is 3/2 = (2*3/4).
(b) in AX5 and AX6 spin systems, the maximum achievable transfer from Xz to Az is 15/8 = (2*15/16).
Note that this is different from the related adiabatic polarization transfer bounds, given by A141244.
(End)
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LINKS
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MATHEMATICA
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Numerator[Table[If[OddQ[n], n!!/2/(n-1)!!, (n-1)!!/2/(n-2)!! ], {n, 50}]]
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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