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A213346 4-quantum transitions in systems of N>=4 spin 1/2 particles, in columns by combination indices. 3
1, 10, 60, 6, 280, 84, 1120, 672, 28, 4032, 4032, 504, 13440, 20160, 5040, 120, 42240, 88704, 36960, 2640, 126720, 354816, 221760, 31680, 495, 366080, 1317888, 1153152, 274560, 12870, 1025024, 4612608, 5381376, 1921920, 180180, 2002 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

4,2

COMMENTS

For a general discussion, please see A213343.

This a(n) is for quadruple-quantum transitions (q = 4).

It lists the flattened triangle T(4;N,k) with rows N = 4,5,... and columns k = 0..floor((N-4)/2).

REFERENCES

See A213343.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 4..2404

Stanislav Sykora, T(4;N,k) with rows N=4,..,100 and columns k=0,..,floor((N-4)/2)

FORMULA

Set q = 4 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-4)/2)

  4 |    1

  5 |   10

  6 |   60   6

  7 |  280  84

  8 | 1120 672 28

PROG

(PARI) See A213343; set thisq = 4

CROSSREFS

Cf. A051288 (q=0), A213343 to A213345 (q=1 to 3), A213347 to A213352 (q=5 to 10).

Cf. A003472 (first column), A004310 (row sums).

Sequence in context: A054489 A219580 A267021 * A140890 A055714 A046762

Adjacent sequences:  A213343 A213344 A213345 * A213347 A213348 A213349

KEYWORD

tabl,nonn

AUTHOR

Stanislav Sykora, Jun 12 2012

STATUS

approved

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Last modified August 17 23:58 EDT 2017. Contains 290682 sequences.