The On-Line Encyclopedia of Integer Sequences (OEIS)

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A213350

8-quantum transitions in systems of N >= 8 spin 1/2 particles, in columns by combination indices.
(history; published version)

#18 by Susanna Cuyler at Thu Nov 21 00:09:46 EST 2019

STATUS

proposed

approved

#17 by Jon E. Schoenfield at Wed Nov 20 22:46:32 EST 2019

STATUS

editing

proposed

#16 by Jon E. Schoenfield at Wed Nov 20 22:46:29 EST 2019

NAME

8-quantum transitions in systems of N >= 8 spin 1/2 particles, in columns by combination indices.

COMMENTS

It lists the flattened triangle T(8;N,k) with rows N = 8,9,... and columns k = 0,..,floor((N-8)/2).

LINKS

Stanislav Sykora, <a href="/A213350/a213350.txt">T(8;N,k) with rows N = 8,..,100 and columns k = 0,..,floor((N-8)/2)</a>

EXAMPLE

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STATUS

proposed

editing

#15 by Michael De Vlieger at Wed Nov 20 20:50:07 EST 2019

STATUS

editing

proposed

#14 by Michael De Vlieger at Wed Nov 20 20:50:05 EST 2019

LINKS

Stanislav Sýkora, <a href="http://www.ebyte.it/stan/blog12to14.html#14Dec31">Magnetic Resonance on OEIS</a>, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.

MATHEMATICA

With[{q = 8}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, q, q + 10}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 20 2019 *)

STATUS

approved

editing

#13 by Joerg Arndt at Sun Dec 20 14:04:19 EST 2015

STATUS

proposed

approved

#12 by Jon E. Schoenfield at Sun Dec 20 14:04:06 EST 2015

STATUS

editing

proposed

#11 by Jon E. Schoenfield at Sun Dec 20 14:04:04 EST 2015

EXAMPLE

N | k = 0, 1, ..., floor((N-8)/2)

8 | 1

9 | 18

10 | 180 10

11 | 1320 220

12 | 7920 2640 66

PROG

(PARI/GP) See A213343; set thisq = 8

STATUS

approved

editing

#10 by OEIS Server at Thu Jun 14 17:45:46 EDT 2012

LINKS

Stanislav Sykora, <a href="/A213350/b213350_1.txt">Table of n, a(n) for n = 8..2216</a>

#9 by T. D. Noe at Thu Jun 14 17:45:46 EDT 2012

STATUS

editing

approved

Discussion

Thu Jun 14

17:45

OEIS Server: Installed new b-file as b213350.txt.  Old b-file is now b213350_1.txt.