OFFSET
4,2
COMMENTS
For a general discussion, please see A213343.
This a(n) is for quadruple-quantum transitions (q = 4).
It lists the flattened triangle T(4;N,k) with rows N = 4,5,... and columns k = 0..floor((N-4)/2).
REFERENCES
See A213343.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 4..2404
Stanislav Sykora, T(4;N,k) with rows N=4,..,100 and columns k=0,..,floor((N-4)/2)
Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.
FORMULA
Set q = 4 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-4)/2)
4 | 1
5 | 10
6 | 60 6
7 | 280 84
8 | 1120 672 28
MATHEMATICA
With[{q = 4}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, 14}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 18 2019 *)
PROG
(PARI) See A213343; set thisq = 4
CROSSREFS
KEYWORD
tabl,nonn
AUTHOR
Stanislav Sykora, Jun 12 2012
STATUS
approved