This site is supported by donations to The OEIS Foundation.

The OEIS is looking to hire part-time people to help edit core sequences, upload scanned documents, process citations, fix broken links, etc. - Neil Sloane, njasloane@gmail.com

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

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.