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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: A232311 A048533 A303145 * 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 November 12 13:36 EST 2018. Contains 317109 sequences. (Running on oeis4.)