This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A213352 10-quantum transitions in systems of N>=10 spin 1/2 particles, in columns by combination indices. 10
 1, 22, 264, 12, 2288, 312, 16016, 4368, 91, 96096, 43680, 2730, 512512, 349440, 43680, 560, 2489344, 2376192, 495040, 19040, 11202048, 14257152, 4455360, 342720, 3060, 47297536, 77395968, 33860736, 4341120, 116280, 189190144, 386979840, 225738240, 43411200 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 10,2 COMMENTS For a general discussion, please see A213343. This a(n) is for decuple-quantum transitions (q = 10). It lists the flattened triangle T(10;N,k) with rows N = 10,11,... and columns k = 0..floor((N-10)/2). REFERENCES See A213343. LINKS Stanislav Sykora, Table of n, a(n) for n = 10..2125 Stanislav Sykora, T(10;N,k) with rows N=10..100 and columns k=0..floor((N-10)/2) FORMULA Set q = 10 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-10)/2) 10 | 1 11 | 22 12 | 264 12 13 | 2288 312 14 | 16016 4368 91 PROG (PARI) See A213343; set thisq = 10 CROSSREFS Cf. A051288 (q=0), A213343 to A213351 (q=1 to 9). Cf. A172242 (first column), A004316 (row sums). Sequence in context: A010974 A022587 A143479 * A004412 A172242 A055756 Adjacent sequences:  A213349 A213350 A213351 * A213353 A213354 A213355 KEYWORD nonn,tabl AUTHOR Stanislav Sykora, Jun 13 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 12 12:43 EST 2018. Contains 317109 sequences. (Running on oeis4.)