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A213349 7-quantum transitions in systems of N>=7 spin 1/2 particles, in columns by combination indices. 3
1, 16, 144, 9, 960, 180, 5280, 1980, 55, 25344, 15840, 1320, 109824, 102960, 17160, 286, 439296, 576576, 160160, 8008, 1647360, 2882880, 1201200, 120120, 1365, 5857280, 13178880, 7687680, 1281280, 43680, 19914752, 56010240 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

COMMENTS

For a general discussion, please see A213343.

This a(n) is for septuple-quantum transitions (q = 7).

It lists the flattened triangle T(7;N,k) with rows N = 7,8,... and columns k = 0,..,floor((N-7)/2).

REFERENCES

See A213343

LINKS

Stanislav Sykora, Table of n, a(n) for n = 7..2262

Stanislav Sykora, T(7;N,k) with rows N=7,..,100 and columns k=0,..,floor((N-7)/2)

FORMULA

Set q = 7 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-7)/2)

   7 |    1

   8 |   16

   9 |  144    9

  10 |  960  180

  11 | 5280 1980 55

PROG

(PARI) See A213343; set thisq = 7

CROSSREFS

Cf. A051288 (q=0), A213343 to A213348 (q=1 to 6), A213350 to A213352 (q=8 to 10).

Cf. A054851 (first column), A004313 (row sums).

Sequence in context: A280601 A232311 A048533 * A032444 A017114 A092820

Adjacent sequences:  A213346 A213347 A213348 * A213350 A213351 A213352

KEYWORD

nonn,tabf

AUTHOR

Stanislav Sykora, Jun 13 2012

STATUS

approved

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Last modified August 17 15:19 EDT 2017. Contains 290635 sequences.