OFFSET
8,2
COMMENTS
For a general discussion, please see A213343.
This a(n) is for octuple-quantum transitions (q = 8).
It lists the flattened triangle T(8;N,k) with rows N = 8,9,... and columns k = 0..floor((N-8)/2).
REFERENCES
See A213343
LINKS
Stanislav Sykora, Table of n, a(n) for n = 8..2216
Stanislav Sykora, T(8;N,k) with rows N = 8..100 and columns k = 0..floor((N-8)/2)
Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.
FORMULA
Set q = 8 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-8)/2)
---+------------------------------
8 | 1
9 | 18
10 | 180 10
11 | 1320 220
12 | 7920 2640 66
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 *)
PROG
(PARI) See A213343; set thisq = 8
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stanislav Sykora, Jun 13 2012
STATUS
approved