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 A213347 5-quantum transitions in systems of N>=5 spin 1/2 particles, in columns by combination indices. 3
 1, 12, 84, 7, 448, 112, 2016, 1008, 36, 8064, 6720, 720, 29568, 36960, 7920, 165, 101376, 177408, 63360, 3960, 329472, 768768, 411840, 51480, 715, 1025024, 3075072, 2306304, 480480, 20020, 3075072, 11531520, 11531520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,2 COMMENTS For a general discussion, please see A213343. This a(n) is for quintuple-quantum transitions (q = 5). It lists the flattened triangle T(5;N,k) with rows N = 5,6,... and columns N, k = 0..floor((N-5)/2). REFERENCES See A213343 LINKS Stanislav Sykora, Table of n, a(n) for n = 5..2356 Stanislav Sykora, T(5;N,k) with rows N=5,..,100 and columns k=0,..,floor((N-5)/2) FORMULA Set q = 5 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-5)/2)   5 |    1   6 |   12   7 |   84    7   8 |  448  112   9 | 2016 1008 36 PROG (PARI) See A213343; set thisq = 5 CROSSREFS Cf. A051288 (q=0), A213343 to A213346 (q=1 to 4), A213348 to A213352 (q=6 to 10). A054849 (first column), A004311 (row sums). Sequence in context: A275743 A026949 A165127 * A075476 A298977 A213784 Adjacent sequences:  A213344 A213345 A213346 * A213348 A213349 A213350 KEYWORD tabf,nonn AUTHOR Stanislav Sykora, Jun 13 2012 STATUS approved

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Last modified December 16 07:12 EST 2018. Contains 318158 sequences. (Running on oeis4.)