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A213351 9-quantum transitions in systems of N>=9 spin 1/2 particles, in columns by combination indices. 3
1, 20, 220, 11, 1760, 264, 11440, 3432, 78, 64064, 32032, 2184, 320320, 240240, 32760, 455, 1464320, 1537536, 349440, 14560, 6223360, 8712704, 2970240, 247520, 2380, 24893440, 44808192, 21385728, 2970240, 85680, 94595072, 212838912, 135442944, 28217280 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

9,2

COMMENTS

For a general discussion, please see A213343.

This a(n) is for nonuple-quantum transitions (q = 9).

It lists the flattened triangle T(9;N,k) with rows N = 9,10,... and columns k = floor((N-9)/2).

REFERENCES

See A213343

LINKS

Stanislav Sykora, Table of n, a(n) for n = 9..2170

Stanislav Sykora, T(9;N,k) with rows N=9,..,100 and columns k=0,..,floor((N-9)/2)

FORMULA

Set q = 9 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-9)/2)

9 | 1

10 | 20

11 | 220 11

12 | 1760 264

13 | 11440 3432 78

PROG

(PARI) See A213343; set thisq = 9

CROSSREFS

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

Cf. A140354 (first column,with offset 9), A004315 (row sums).

Sequence in context: A141790 A229575 A125408 * A140236 A004411 A140354

Adjacent sequences:  A213348 A213349 A213350 * A213352 A213353 A213354

KEYWORD

nonn,tabl

AUTHOR

Stanislav Sykora, Jun 13 2012

STATUS

approved

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Last modified July 25 20:28 EDT 2017. Contains 289797 sequences.