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A213348 6-quantum transitions in systems of N>=6 spin 1/2 particles, in columns by combination indices. 3
1, 14, 112, 8, 672, 144, 3360, 1440, 45, 14784, 10560, 990, 59136, 63360, 11880, 220, 219648, 329472, 102960, 5720, 768768, 1537536, 720720, 80080, 1001, 2562560, 6589440, 4324320, 800800, 30030, 8200192, 26357760, 23063040 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

COMMENTS

For a general discussion, please see A213343.

This a(n) is for sextuple-quantum transitions (q = 6).

It lists the flattened triangle T(6;N,k) with rows N = 6,7,... and columns k = 0,..,floor((N-6)/2).

REFERENCES

See A213343

LINKS

Stanislav Sykora, Table of n, a(n) for n = 6..2309

Stanislav Sykora, T(6;N,k) with rows N=6,..,100 and columns k=0,..,floor((N-6)/2)

FORMULA

Set q = 6 in: T(q;N,k) = 2^(N-q-2*k)*binomial(N,k)*binomial(N-k,q+k).

EXAMPLE

Starting rows of the triangle:

   N | k = 0, 1, ..., floor((N-6)/2)

   6 |    1

   7 |   14

   8 |  112    8

   9 |  672  144

  10 | 3360 1440 45

PROG

(PARI) See A213343; set thisq = 6

CROSSREFS

Cf. A051288 (q=0), A213343 to A213347 (q=1 to 5), A213349 to A213352 (q=7 to 10).

Cf. A002409 (first column, with offset 6), A004312 (row sums).

Sequence in context: A244693 A039630 A234800 * A004408 A002409 A155655

Adjacent sequences:  A213345 A213346 A213347 * A213349 A213350 A213351

KEYWORD

nonn,tabf

AUTHOR

Stanislav Sykora, Jun 13 2012

STATUS

approved

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Last modified June 27 17:44 EDT 2017. Contains 288790 sequences.